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113626125 = 3353131257
BaseRepresentation
bin1101100010111…
…00110000001101
321220210210202000
412301130300031
5213042014000
615135222513
72546543334
oct661346015
9256723660
10113626125
1159158a98
1232077a39
131a7049c2
141113ad1b
159e97000
hex6c5cc0d

113626125 has 64 divisors (see below), whose sum is σ = 212509440. Its totient is φ = 59904000.

The previous prime is 113626039. The next prime is 113626127. The reversal of 113626125 is 521626311.

113626125 is a `hidden beast` number, since 1 + 13 + 626 + 1 + 25 = 666.

It is not a de Polignac number, because 113626125 - 27 = 113625997 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113626127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 441997 + ... + 442253.

It is an arithmetic number, because the mean of its divisors is an integer number (3320460).

Almost surely, 2113626125 is an apocalyptic number.

113626125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113626125 is a deficient number, since it is larger than the sum of its proper divisors (98883315).

113626125 is a wasteful number, since it uses less digits than its factorization.

113626125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 113626125 is about 10659.5555723492. Note that the first 4 decimals coincide. The cubic root of 113626125 is about 484.3501055537.

It can be divided in two parts, 1136 and 26125, that added together give a triangular number (27261 = T233).

The spelling of 113626125 in words is "one hundred thirteen million, six hundred twenty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 125 131 135 225 257 375 393 655 675 771 1125 1179 1285 1965 2313 3275 3375 3537 3855 5895 6425 6939 9825 11565 16375 17685 19275 29475 32125 33667 34695 49125 57825 88425 96375 101001 147375 168335 173475 289125 303003 442125 505005 841675 867375 909009 1515015 2525025 4208375 4545045 7575075 12625125 22725225 37875375 113626125