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113401512 = 23337179419
BaseRepresentation
bin1101100001001…
…01111010101000
321220101101122000
412300211322220
5213012322022
615130331000
72544616440
oct660457250
9256341560
10113401512
1159015264
1231b89a60
131a6566b3
14110bd120
159e506ac
hex6c25ea8

113401512 has 128 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 32142528.

The previous prime is 113401499. The next prime is 113401573. The reversal of 113401512 is 215104311.

113401512 is a `hidden beast` number, since 113 + 40 + 1 + 512 = 666.

It is a super-2 number, since 2×1134015122 = 25719805847772288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 270439 + ... + 270857.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 2113401512 is an apocalyptic number.

113401512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113401512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

113401512 is an abundant number, since it is smaller than the sum of its proper divisors (249478488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113401512 is a wasteful number, since it uses less digits than its factorization.

113401512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 113401512 is about 10649.0146023001. The cubic root of 113401512 is about 484.0307450360.

Adding to 113401512 its reverse (215104311), we get a palindrome (328505823).

The spelling of 113401512 in words is "one hundred thirteen million, four hundred one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 179 189 216 252 358 378 419 504 537 716 756 838 1074 1253 1257 1432 1512 1611 1676 2148 2506 2514 2933 3222 3352 3759 3771 4296 4833 5012 5028 5866 6444 7518 7542 8799 9666 10024 10056 11277 11313 11732 12888 15036 15084 17598 19332 22554 22626 23464 26397 30072 30168 33831 35196 38664 45108 45252 52794 67662 70392 75001 79191 90216 90504 105588 135324 150002 158382 211176 225003 270648 300004 316764 450006 525007 600008 633528 675009 900012 1050014 1350018 1575021 1800024 2025027 2100028 2700036 3150042 4050054 4200056 4725063 5400072 6300084 8100108 9450126 12600168 14175189 16200216 18900252 28350378 37800504 56700756 113401512