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113148329625 = 335397577599
BaseRepresentation
bin110100101100000101…
…0100111111010011001
3101211001111112200201000
41221120022213322121
53323211433022000
6123551333215213
711113630635012
oct1513012477231
9354044480630
10113148329625
1143a93311821
1219b19191509
13a892846c46
14569539c009
152e236db000
hex1a582a7e99

113148329625 has 128 divisors (see below), whose sum is σ = 212075136000. Its totient is φ = 59520614400.

The previous prime is 113148329603. The next prime is 113148329653. The reversal of 113148329625 is 526923841311.

113148329625 is a `hidden beast` number, since 1 + 1 + 3 + 14 + 8 + 3 + 2 + 9 + 625 = 666.

It is not a de Polignac number, because 113148329625 - 28 = 113148329369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 188895076 + ... + 188895674.

It is an arithmetic number, because the mean of its divisors is an integer number (1656837000).

Almost surely, 2113148329625 is an apocalyptic number.

113148329625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113148329625 is a deficient number, since it is larger than the sum of its proper divisors (98926806375).

113148329625 is an equidigital number, since it uses as much as digits as its factorization.

113148329625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1281 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 113148329625 in words is "one hundred thirteen billion, one hundred forty-eight million, three hundred twenty-nine thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 97 125 135 225 291 375 485 577 599 675 873 1125 1455 1731 1797 2425 2619 2885 2995 3375 4365 5193 5391 7275 8655 8985 12125 13095 14425 14975 15579 16173 21825 25965 26955 36375 43275 44925 55969 58103 65475 72125 74875 77895 80865 109125 129825 134775 167907 174309 216375 224625 279845 290515 327375 345623 389475 404325 503721 522927 649125 673875 839535 871545 1036869 1399225 1452575 1511163 1568781 1728115 1947375 2021625 2518605 2614635 3110607 4197675 4357725 5184345 6996125 7262875 7555815 7843905 8640575 9331821 12593025 13073175 15553035 20988375 21788625 25921725 33525431 37779075 39219525 43202875 46659105 62965125 65365875 77765175 100576293 129608625 167627155 188895375 196097625 233295525 301728879 388825875 502881465 838135775 905186637 1166477625 1508644395 2514407325 4190678875 4525933185 7543221975 12572036625 22629665925 37716109875 113148329625