Jump to content
Wikipedia The Free Encyclopedia

130 (number)

From Wikipedia, the free encyclopedia
Natural number
Cardinal one hundred thirty
Ordinal 130th
(one hundred thirtieth)
Factorization 2 ×ばつ 5 ×ばつ 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.

In mathematics

[edit ]

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]

There is no value n between 130 and 4 ×ばつ 130 = 520, such that 2n − 1, the nth Mersenne number, is prime. As of February 2026, 130 is the largest known integer with this property.

In other fields

[edit ]
  • A 130-30 fund or a ratio up to 150/50 is a type of collective investment vehicle

References

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

AltStyle によって変換されたページ (->オリジナル) /