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113312232 = 233211173827
BaseRepresentation
bin1101100000100…
…00000111101000
321220012212011100
412300100013220
5213001442412
615124401400
72544065235
oct660200750
9256185140
10113312232
1158a64180
1231b46260
131a624b77
141109878c
159e33edc
hex6c101e8

113312232 has 96 divisors (see below), whose sum is σ = 337128480. Its totient is φ = 34097280.

The previous prime is 113312201. The next prime is 113312261. The reversal of 113312232 is 232213311.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136603 + ... + 137429.

It is an arithmetic number, because the mean of its divisors is an integer number (3511755).

Almost surely, 2113312232 is an apocalyptic number.

113312232 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 113312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168564240).

113312232 is an abundant number, since it is smaller than the sum of its proper divisors (223816248).

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

113312232 is a wasteful number, since it uses less digits than its factorization.

113312232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1016 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 113312232 is about 10644.8218397491. The cubic root of 113312232 is about 483.9036873221.

Adding to 113312232 its reverse (232213311), we get a palindrome (345525543).

The spelling of 113312232 in words is "one hundred thirteen million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 173 198 264 346 396 519 692 792 827 1038 1384 1557 1654 1903 2076 2481 3114 3308 3806 4152 4962 5709 6228 6616 7443 7612 9097 9924 11418 12456 14886 15224 17127 18194 19848 22836 27291 29772 34254 36388 45672 54582 59544 68508 72776 81873 109164 137016 143071 163746 218328 286142 327492 429213 572284 654984 858426 1144568 1287639 1573781 1716852 2575278 3147562 3433704 4721343 5150556 6295124 9442686 10301112 12590248 14164029 18885372 28328058 37770744 56656116 113312232