112 (number)

Short description: Natural number

| <- 111  | 112 |  113 ->

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← 110 111 112 113 114 115 116 117 118 119 →

List of numbers — Integers

← 0 100 200 300 400 500 600 700 800 900 →

Cardinal| one hundred twelve
Ordinal| 112th
(one hundred twelfth)
Factorization| 24 × 7
Divisors| 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Greek numeral| ΡΙΒ´
Roman numeral| CXII
Binary| 11100002
Ternary| 110113
Quaternary| 13004
Quinary| 4225
Senary| 3046
Octal| 1608
Duodecimal| 9412
Hexadecimal| 7016
Vigesimal| 5C20
Base 36| 3436

112 (one hundred [and] twelve) is the natural number following 111 and preceding 113.

## Mathematics

112 is an abundant number, a heptagonal number,[1] and a Harshad number.[2]

112 is the number of connected graphs on 6 unlabeled nodes.[3]

If an equilateral triangle has sides of length 112, then it contains an interior point at integer distances 57, 65, and 73 from its vertices. This is the smallest possible side length of an equilateral triangle that contains a point at integer distances from the vertices.[4]

## See also

* 112 (disambiguation)

## References

1. ↑ "Sloane's A000566 : Heptagonal numbers". OEIS Foundation. https://oeis.org/A000566.
2. ↑ "Sloane's A005349 : Niven (or Harshad) numbers". OEIS Foundation. https://oeis.org/A005349.
3. ↑ "Sloane's A001349 : Number of connected graphs with n nodes". OEIS Foundation. https://oeis.org/A001349.
4. ↑ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987), page 119

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