130 (number)

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129 130 131
Cardinal one hundred thirty
Ordinal 130th
(one hundred thirtieth)
Factorization 2 × 5 × 13
Divisors 1, 2, 5, 10, 13, 26, 65, 130
Greek numeral ΡΛ´
Roman numeral CXXX, cxxx
Binary 100000102
Ternary 112113
Senary 3346
Octal 2028
Duodecimal AA12
Hexadecimal 8216

130 (one hundred [and] thirty) is the natural number following 129 and preceding 131.

Contents

In mathematics

130 is a sphenic number. It is a noncototient since there is no answer to the equation x - φ(x) = 130.

130 is the only integer that is the sum of the squares of its first four divisors, including 1: 12 + 22 + 52 + 102 = 130.

130 is the largest number that cannot be written as the sum of four hexagonal numbers. [1]

130 equals both 27 + 2 and 53 + 5 and is therefore a doubly strictly adsurd number. [2]

In other fields

References

  1. MathWorld - Hexagonal Number
  2. Mackenzie, Dana (March 2018). "2184: An Absurd (and Adsurd) Tale". Integers. 18.