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113352525 = 325211132271
BaseRepresentation
bin1101100000110…
…01111101001101
321220021220102200
412300121331031
5213004240100
615125312113
72544323556
oct660317515
9256256380
10113352525
1158a91480
1231b65639
131a63a300
14110a932d
159e40e00
hex6c19f4d

113352525 has 108 divisors (see below), whose sum is σ = 240716736. Its totient is φ = 50544000.

The previous prime is 113352521. The next prime is 113352527. The reversal of 113352525 is 525253311.

It is a happy number.

113352525 is a `hidden beast` number, since 1 + 133 + 5 + 2 + 525 = 666.

It is not a de Polignac number, because 113352525 - 22 = 113352521 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113352521) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 418140 + ... + 418410.

Almost surely, 2113352525 is an apocalyptic number.

113352525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113352525 is an abundant number, since it is smaller than the sum of its proper divisors (127364211).

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

113352525 is a wasteful number, since it uses less digits than its factorization.

113352525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 113352525 is about 10646.7142818806. The cubic root of 113352525 is about 483.9610380607.

The spelling of 113352525 in words is "one hundred thirteen million, three hundred fifty-two thousand, five hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 25 33 39 45 55 65 75 99 117 143 165 169 195 225 271 275 325 429 495 507 585 715 813 825 845 975 1287 1355 1521 1859 2145 2439 2475 2535 2925 2981 3523 3575 4065 4225 5577 6435 6775 7605 8943 9295 10569 10725 12195 12675 14905 16731 17615 20325 26829 27885 31707 32175 38025 38753 44715 45799 46475 52845 60975 74525 83655 88075 116259 134145 137397 139425 158535 193765 223575 228995 264225 348777 412191 418275 503789 581295 670725 686985 792675 968825 1144975 1511367 1743885 2060955 2518945 2906475 3434925 4534101 7556835 8719425 10304775 12594725 22670505 37784175 113352525