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110
From OeisWiki
110 is an integer.
Contents
- 1 Membership in core sequences
- 2 Sequences pertaining to 110
- 3 Partitions of 110
- 4 Values for number theoretic functions with 110 as an argument
- 5 Factorization of some small integers in a quadratic integer ring adjoining the square root of −110 or 110
- 6 Factorization of 110 in some quadratic integer rings
- 7 Representation of 110 in various bases
- 8 See also
Membership in core sequences
Even numbers | ..., 104, 106, 108, 110, 112, 114, 116, ... | A005843 |
Composite numbers | ..., 105, 106, 108, 110, 111, 112, 114, ... | A002808 |
Oblong numbers | ..., 56, 72, 90, 110, 132, 156, 182, ... | A002378 |
Quarter-squares | ..., 81, 90, 100, 110, 121, 132, 144, ... | A002620 |
Squarefree numbers | ..., 106, 107, 109, 110, 111, 113, 114, ... | A005117 |
Sequences pertaining to 110
Multiples of 110 | 0, 110, 220, 330, 440, 550, 660, 770, 880, ... | |
Divisors of 110 | 1, 2, 5, 10, 11, 22, 55, 110 | A018288 |
sequence starting at 97 | 97, 292, 146, 73, 220, 110, 55, 166, 83, 250, ... | A008873 |
Partitions of 110
There are 607163746 partitions of 110.
The Goldbach representations of 110 are: 3 + 107 = 7 + 103 = 13 + 97 = 31 + 79 = 37 + 73 = 43 + 67.
Values for number theoretic functions with 110 as an argument
−1 | ||
−5 | ||
29 | ||
216 | ||
8 | ||
40 | ||
3 | ||
3 | ||
This is the Carmichael lambda function. | ||
This is the Liouville lambda function. |
Factorization of some small integers in a quadratic integer ring adjoining the square root of −110 or 110
PLACEHOLDER
Factorization of 110 in some quadratic integer rings
As was mentioned above, 110 is the product of three distinct primes in . But in some quadratic integer rings, some of these primes are further reducible.
TABLE GOES HERE
Representation of 110 in various bases
Base | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
Representation | 1101110 | 11002 | 1232 | 420 | 302 | 215 | 156 | 132 | 110 | A0 | 92 | 86 | 7C | 75 | 6E | 68 | 62 | 5F | 5A |
Notice that in base 10, we have 110 = 11 × 10. No smaller number has this property in decimal.
See also
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 |