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{{Number|number = 130
{{Infobox number
| number = 130
| cardinal = one hundred [and] thirty
| ordinal = th
| ordinal text = one hundred [and] thirtieth
| numeral =
| factorization = <math> 2 \cdot 5 \cdot 13 </math>
| prime =
| divisor = 1, 2, 5, 10, 13, 26, 65, 130
| divisor = 1, 2, 5, 10, 13, 26, 65, 130
| unicode =
| greek prefix =
| latin prefix =
| misc =
}}
}}


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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>

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
| last = Mackenzie
| first = Dana
| title = 2184: An Absurd (and Adsurd) Tale
| url = http://math.colgate.edu/~integers/s33/s33.Abstract.html
| journal = Integers
| volume = 18
| date = March 2018
}}</ref>

==In religion==
The [[Book of Genesis]] states Adam had Seth at the age of 130.
The [[Books of Chronicles|Second Book of Chronicles]] says that [[Jehoiada]] died at the age of 130.<ref>{{bibleverse|2|Chronicles|24:15|NIV}}</ref>


==In other fields==
==In other fields==
'''One hundred [and] thirty''' is also:
'''One hundred [and] thirty''' is also:
* The year [[130|AD130]] or [[130 BC]]
* The year [[AD 130]] or [[130 BC]]
* The [[130 nanometer]] process is a semiconductor process technology by [[semiconductor]] companies
* 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
* A [[130-30 fund]] or a ratio up to 150/50 is a type of collective investment vehicle
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* [[List of highways numbered 130]]
* [[List of highways numbered 130]]
* [[United Nations Security Council Resolution 130]]
* [[United Nations Security Council Resolution 130]]
* [[130 Liberty Street (disambiguation)|130 Liberty Street]], New York City
* [[130 Liberty Street]], New York City


{{Integers|1}}
{{Integers|1}}

Latest revision as of 15:43, 26 May 2024

← 129 130 131 →
Cardinalone hundred thirty
Ordinal130th
(one hundred thirtieth)
Factorization2 × 5 × 13
Divisors1, 2, 5, 10, 13, 26, 65, 130
Greek numeralΡΛ´
Roman numeralCXXX
Binary100000102
Ternary112113
Senary3346
Octal2028
DuodecimalAA12
Hexadecimal8216

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:

References

[edit]
  1. ^ MathWorld - Hexagonal Number
  2. ^ Mackenzie, Dana (March 2018). "2184: An Absurd (and Adsurd) Tale". Integers. 18.
  3. ^ 2 Chronicles 24:15

See also

[edit]