2016년 12월 1일 목요일

11

11

10 11 12
The prime factor resolution 11 (Prime number
The binary scale 1011
六進法 15
Octal system 13
Duodecimal system B
Hexadecimal notation B
Vigesimal system B
Roman numeral XI
The Chinese numerals 11
Larger section of a village 11
Ancient calculator Counting rod h1.pngCounting rod v1.png

11 (one じゅういち and rest) is 10 nexts, integer before 12. As for the etymology of English eleven and Elf of German meaning 11, "the remainder is one". This means that another one that I counted to 10 with a finger remains. In the English ordinal number, it becomes 11th, eleventh. In the Latin undecim (ウーンデキム).

Table of contents

Property

  • It is the fifth prime number. 7, the next are 13 before one.
    • It is the smallest prime number with two columns.
    • The sum of divisor is 12.
  • It is the number of the fifth リュカ. 7, the next are 18 before one.
  • It is the fourth Sophie gel man prime number. 5, the next are 23 before one.
  • It is the third safe prime number. 7, the next are 23 before one.
    • A Sophie gel man prime number, the both safe prime numbers expectation are the second full prime numbers. 5, the next are 23 before one. (progression A59455 of the online integer row Dictionary)
  • It is the third super prime number. 5, the next are 17 before one.
  • The eleventh prime number: 31
  • 1/11 = 0.090909… である (in the underline part a repetend).
  • I try 2n-1 for the first time, and, in メルセンヌ prime number to express in form of 2n-1, n becomes 211-1 = 2,047 = 23*89 and the composite number at the time of prime number.
  • It is the prime number of the second 8n +3 type, and x2 + 2y2 can refer to the prime number of this kind, but is 11 = 32 + 2*12. 3, the next are 19 before one.
  • A tuple (11, 13) with 13 is the third twin prime numbers. Before nothing (5, 7), the next (17, 19).
  • (5, 7, 11, 13) is a quadruplet prime number of the beginnings. In addition, (11, 13, 17, 19) is a quadruplet prime number, too. The next (101, 103, 107, 109).
  • It is the number that is smallest for natural number more than 4 not to be able to express in sums of two prime numbers.
  • 11 is +1 = 39,916,801 and lays a factorial prime number of the form of n! +1.
  • It is 11# +1 = 2*3*5*7*11 +1 = 2,311 and produces a prime number in form of n# +1 (the prime number that is less than n by prime number factorial in n# I take advantage all-out).
  • A palindrome prime number only in a decimal system with two columns of natural number. In addition, when one column of number is excluded, it is the number of the smallest palindromes and is the repdigit that 1 forms a line two. 112 = 121, 113 = 1,331, 114 = 14,641 are also the number of the palindromes.
  • The number of the palindromes of the even number figure is a multiple of 11.
  • It is the second レピュニット R2 and is レピュニット prime number. In next レピュニット, R3 = 111, the next レピュニット prime number are R19.
  • It is the number of smallest ズッカーマン in two columns of numbers.
  • It is the smallest number in integers not to be able to express in the multiplication table (I do not appear). The prime numbers more than 11 still less come up in the multiplication table.
  • It is the smallest natural number that is not the number of ハーシャッド. Therefore, the prime numbers more than 11 are not the number of ハーシャッド.
    • As for the minimum of the number of ハーシャッド becoming 11, there is the harmony among members 16 by eight, 10000 by 209, 1000.
  • If the difference of the sum of rank of odd number figure eyes and the sum of rank of even number figure eyes is a multiple of 11, as the judgment method whether or not a certain number is divisible with 11, there is that this number is a multiple of 11 from a decimal point.
    • An example: 11*8,348 = 91828, it is - (2 +1) = 22 = 11*2 (8 +8 +9)
Generally, the number that pulled the sum of even number figure eyes of rank from the sum of odd number figure eye digit from a decimal point is equal to a surplus when I assumed original number and 11 law.
  • If I divide it into the group by two consecutive rank as the different judgment method (I add 0 to the top if the number of the figures is an odd number), and the sum of divided number is divisible with 11, the number is divisible with 11. For example, about number 65637, 65637 is divisible with 11 because it is 06 +56 +37 = 99 = 11*9. This judgment law is passed even if I add 0 to the lowest beam. For example, about number 65637, 65 +63 +70 = 198 is divisible with 11. Generally, the number of the number of all groups should be an even number unit (all groups do not have to have a number of the same number).
  • It is the second good prime number.
  • It is crampons Stein prime number not to have several copies of fruits of the form of 13n-1, imaginary number part.
  • It is ストロボグラマティック prime number and a dihedral angle prime number.
  • If a certain number is divisible with 11, the number that wrote it from reverse becomes the multiple of 11. And the number that I wrote is output with an original number by reverse when I hang 11 to the number if the sums of number of all figures next to each other of a certain number do not exceed 9 and break the number that I wrote it from reverse with 11 (e.g., 142,312*11 = 1565432, 2,345,651/11 = 213241).
  • When a decimal displays the fraction that a denominator is 11 because 11 is 99 divisors, the length of the repetend is 2.
  • In 6 進数 and 8 進数, the smallest prime number that the sum of number of each figure becomes the composite number is 11.
  • In a decimal number, there is a simple test to judge the number that a certain integer is divisible with 11 to be it. I add all the number in the odd number figure and then add all the number in the even number figure. When these differences are divisible with 11, the integer is divisible with 11 [1]. For example, this is divisible with 11 when I take 65637 for an example (6 +6 +7) because it is - (5 +3) = 11. Even if this technique is not the same number if the number of numbers in each group is an odd number rather than an individual number, it is applicable for the group of the number. For example, by three columns become 65-637 = -572 (number to be divisible with 11) when I take 65637 for an example.
  • There is a method to easily perform 11 and the multiplication with a certain number in a decimal system. The number of the figures,
    • I reprint one column of - number (i.e., it is 2*11 = 22).
    • I add two columns - two columns and put a result midmost (e.g.,: 47*11 = 4 (4 +7) 7 = 517).
    • Three columns of - first right figures of the number to take become the most right figure of the result, and the second figure of the result is the first right of the number to hang and the sum of the second figure, and the third figure of the result is the sum of number of the second and the third of the number to hang, and the fourth figure of the result is the third figure of the number to hang. When the sum is more than 10, it carries 1. For example, 3 = 1353, 481*11 = 4 (4 +8) are 1 = 5291 123*11 = 1 (1 +2) (8 +1) (2 +3).
    • More than four columns like -3 columns of cases.
  • In a decimal number, it is the smallest natural number that is not the number of ハーシャッド.
  • In 進数 (e.g., hexadecimal notation) more than 13, 11 is expressed in B whereas 10 is A. However, T, 11 are referred to 10 in the duodecimal system once in a while E.
  • It is the number of シュテルマー, ヘーグナー number and a prime number generated by Milnes constant.
  • Of the curve that is a right angle of 11 that can solve the Helmholtz equation of 3 variables using technique of the variable separation a coordinate system exists (to the symmetric inside of equal angles).
  • Because 11 form a cube among 35 hexoMino, I can fold it. I can fold 11 among 66 オクチアモンド to form an octahedron.
  • Randomly selected number of partitions is higher in the probability that is a multiple of 11 than 1/11.
  • According to David A クラルネル which is the study instructor of the polyomino and a contributor, the congruent polyomino that is not rectangular of the odd number unit can cut a rectangle into pieces. 11 is such a number of the one and only that is not fewest such numbers, only such number that is a prime number and a multiple of 3.
  • As for biggest original 11-gon, an area is not broken with origami. In addition, an area not to be broken with origami is the smallest number in the biggest original n square shape.
  • It is the first sum to constitute Fibonacci series of number of 4. (1+2+3+5 = 11) 6, the next are 19 before one.
  • It is the sixth number in 31 number that I cannot express in sums of different square numbers. 8, the next are 12 before one.
  • The second number that the harmony among members (the number sum) becomes 2. 2, the next are 20 before one.
    • The sum of members (the number sum) is the number of n joints becoming n. 1, the next are 21 before one.

List of basic calculations

Multiplication
x 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
11x 11 22 33 44 55 66 77 88 99 110 121 132 143 154 165 176 187 198 209 220
x 21 22 23 24 25 26 50 100 1000
11x 231 242 253 264 275 286 550 1100 11000
Division
x 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
11/x 11 5.5 3.6 2.75 2.2 1.83 1.571428 1.375 1.2 1.1 1 0.916 0.846153 0.7857142 0.73
x/11 0.09 0.18 0.27 0.36 0.45 0.54 0.63 0.72 0.81 0.90 1 1.09 1.18 1.27 1.36
冪乗 1 2 3 4 5 6 7 8 9 10 11 12 13
11x 11 121 1331 14641 161051 1771561 19487171 214358881 2357947691 25937421601 285311670611 3138428376721 34522712143931
x11 1 2048 177147 4194304 48828125 362797056 1977326743 8589934592 31381059609 100000000000 285311670611 743008370688 1792160394037
The basis 1 5 10 15 20 25 30 40 50 60 70 80 90 100
110 120 130 140 150 200 250 500 1000 10000 100000 1000000
x11 1 5 A11 1411 1911 2311 2811 3711 4611 5511 6411 7311 8211 9111
A011 AA11 10911 11811 12711 17211 20811 41511 82A11 757211 691411 62335111

List of basic operation to make 11

+ X ÷
0 0 +11 0-(-11) N/A N/A
1 1 +10 1-(-10) 1*11 1/0.09
2 2 +9 2-(-9) 2*5.5 2/0.18
3 3 +8 3-(-8) 3*3.6 3/0.27
4 4 +7 4-(-7) 4*2.75 4/0.36
5 5 +6 5-(-6) 5*2.2 5/0.45
6 6 +5 6-(-5) 6*1.83 6/0.54
7 7 +4 7-(-4) 7*1.571428 7/0.63
8 8 +3 8-(-3) 8*1.375 8/0.72
9 9 +2 9-(-2) 9*1.2 9/0.81
10 10 +1 10-(-1) 10*1.1 10/0.90
11 11 +0 11-0 11*1 11/1
12 12 +( -1) 12-1 12 X 11/12 11 ÷ 12/11

I it in science

Astronomy

I it in music

I it in sports

  • There are 11 players per one team in once by soccer and the cricket on the field. Phrase "the first football XI" and "the first cricket XI" generally point at the first team playing now at school. Other teams are often referred to "the second XI".
  • In addition, the penalty kick is named "Elfmeter" in German (and depending on a case other countries using the metric system) because there is a penalty spot to approximately 11m (exactly 12 yards) in soccer from the goal line. By the pyramid formation that the position name had stolen, the left wing forward put on 11. When I use a modern game particularly 4-4-2 formation, a midfielder of the left side puts it on. A forward may put it on.
  • The field hockey team is 11 people. Players putting on 11 in the body usually play in soccer on the left side to be so.
  • It is 11 people to be able to play by American football at the same time in a field.
  • A left wing puts on 11 in the rugby union.
  • In the rugby league, a forward of the second row acquires 11.
  • It is the batter who the eleventh batter is usually called the tale end by cricket, and is the weakest.
  • Uniform number 11 of Hanshin Tigers is a permanently retired uniform number of the pitcher Minoru Murayama.
  • "11" that Masaki Saito has as for the professional baseball consecutive pitching the whole game victory records in Japan. I assume the uniform number 11 from 1990 of the accomplished next year.

I it in the armed forces

I it in computing

11 about the history

I a thing about others 11

Mark position

Sign Unicode JIS X 0213 Cf. letter Name
U+216A 1-13-31 &# x216A;
&# 8554,
ROMAN NUMERAL ELEVIN
U+217A 1-12-31 &# x217A;
&# 8570,
SMALL ROMAN NUMERAL ELEVIN
U+246A 1-13-11 &# x246A;
&# 9322,
CIRCLED DIGIT ELEVIN
U+247E - &# x247E;
&# 9342,
PARENTHESIZED DIGIT ELEVIN
U+2492 - &# x2492;
&# 9362,
DIGIT ELEVIN FULL STOP
U+24EB 1-12-11 &# x24EB;
&# 9451,
DOUBLE CIRCLED DIGIT ELEVIN

Footnote

  1. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 47. ISBN 978-1 - 84,800-000-1. 
  2. ^ [1] [broken link]
  3. ^ [2] [broken link]
  4. ^ Keyboard Shortcuts for Internet Explorer 4[Broken link]

Allied item

Natural number to two columns
(0) 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27 28 29
30 31 32 33 34 35 36 37 38 39
40 41 42 43 44 45 46 47 48 49
50 51 52 53 54 55 56 57 58 59
60 61 62 63 64 65 66 67 68 69
70 71 72 73 74 75 76 77 78 79
80 81 82 83 84 85 86 87 88 89
90 91 92 93 94 95 96 97 98 99
  • The number that I expressed in italic type is a prime number.


This article is taken from the Japanese Wikipedia 11

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