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130 is the largest number that cannot be written as the sum of four [[hexagonal number]]s.<ref>[http://mathworld.wolfram.com/HexagonalNumber.html MathWorld - Hexagonal Number]</ref> |
130 is the largest number that cannot be written as the sum of four [[hexagonal number]]s.<ref>[http://mathworld.wolfram.com/HexagonalNumber.html MathWorld - Hexagonal Number]</ref> |
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130 equals both 2<sup>7</sup> + 2 and 5<sup>3</sup> + 5 and is therefore a ''doubly strictly {{not a typo| |
130 equals both 2<sup>7</sup> + 2 and 5<sup>3</sup> + 5 and is therefore a ''doubly strictly {{not a typo|adsurd}}'' number.<ref>{{cite journal |
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| last = Mackenzie |
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Latest revision as of 15:43, 26 May 2024
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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 | |||
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]
In religion
[edit]The Book of Genesis states Adam had Seth at the age of 130. The Second Book of Chronicles says that Jehoiada died at the age of 130.[3]
In other fields
[edit]One hundred [and] thirty is also:
- The year AD 130 or 130 BC
- The 130 nanometer process is a semiconductor process technology by semiconductor companies
- A 130-30 fund or a ratio up to 150/50 is a type of collective investment vehicle
- The C130 Hercules aircraft
References
[edit]- ^ MathWorld - Hexagonal Number
- ^ Mackenzie, Dana (March 2018). "2184: An Absurd (and Adsurd) Tale". Integers. 18.
- ^ 2 Chronicles 24:15