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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