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119

Please do not rely on any information it contains.

119 is an integer. Notice that it is divisible by 1 and 7, while 120 is divisible by every integer from 1 to 8 except 7. 119 is the smallest number with this property.

Membership in core sequences

 Odd numbers ..., 113, 115, 117, 119, 121, 123, 125, ... A005408 Composite numbers ..., 116, 117, 118, 119, 120, 121, 122, ... A002808

Sequences pertaining to 119

 Multiples of 119 119, 238, 357, 476, 595, 714, 833, 952, 1071, 1190, 1309, 1428, ... ${\displaystyle 3x+1}$ sequence starting at 79 79, 238, 119, 358, 179, 538, 269, 808, 404, 202, 101, 304, 152, ... A258098

Partitions of 119

There are 1653668665 partitions of 119.

Roots and powers of 119

In the table below, irrational numbers are given truncated to eight decimal places.

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Values for number theoretic functions with 119 as an argument

 ${\displaystyle \mu (119)}$ 1 ${\displaystyle M(119)}$ −3 ${\displaystyle \pi (119)}$ 30 ${\displaystyle \sigma _{1}(119)}$ 144 ${\displaystyle \sigma _{0}(119)}$ 4 ${\displaystyle \phi (119)}$ 96 ${\displaystyle \Omega (119)}$ 2 ${\displaystyle \omega (119)}$ 2 ${\displaystyle \lambda (119)}$ This is the Carmichael lambda function. ${\displaystyle \lambda (119)}$ This is the Liouville lambda function.

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Representation of 121 in various bases

 Base 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Representation 1110111 11102 1313 434 315 230 167 142 119 A9 9B 92 87 7E 77 70 6B 65 5J

 ${\displaystyle -1}$ 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 1729