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113322962016 = 25321135771137
BaseRepresentation
bin110100110001010010…
…0110010110001100000
3101211111200010221022100
41221202210302301200
53324041134241031
6124020532210400
711121151166235
oct1514244626140
9354450127270
10113322962016
1144072948710
1219b67769a00
13a8bca8b914
1456b065978c
152e33bd3de6
hex1a62932c60

113322962016 has 72 divisors (see below), whose sum is σ = 351558744264. Its totient is φ = 34340290560.

The previous prime is 113322961957. The next prime is 113322962059. The reversal of 113322962016 is 610269223311.

113322962016 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 2 + 29 + 620 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17882401 + ... + 17888736.

It is an arithmetic number, because the mean of its divisors is an integer number (4882760337).

Almost surely, 2113322962016 is an apocalyptic number.

113322962016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113322962016 is an abundant number, since it is smaller than the sum of its proper divisors (238235782248).

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

113322962016 is a wasteful number, since it uses less digits than its factorization.

113322962016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35771164 (or 35771153 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 113322962016 in words is "one hundred thirteen billion, three hundred twenty-two million, nine hundred sixty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 35771137 71542274 107313411 143084548 214626822 286169096 321940233 393482507 429253644 572338192 643880466 786965014 858507288 1144676384 1180447521 1287760932 1573930028 1717014576 2360895042 2575521864 3147860056 3434029152 3541342563 4721790084 5151043728 6295720112 7082685126 9443580168 10302087456 12591440224 14165370252 18887160336 28330740504 37774320672 56661481008 113322962016