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115051132116 = 223247307221489
BaseRepresentation
bin110101100100110010…
…1001111010011010100
3101222222010000002000100
41223021211033103110
53341111042211431
6124504225014100
711212034326104
oct1531145172324
9358863002010
10115051132116
114487a401468
121a36a484330
13ab06b1c28b
1457d5d95204
152ed579e4e6
hex1ac994f4d4

115051132116 has 72 divisors (see below), whose sum is σ = 297980242560. Its totient is φ = 37411981056.

The previous prime is 115051132073. The next prime is 115051132171. The reversal of 115051132116 is 611231150511.

115051132116 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 511 + 32 + 116 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 115051132116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408700 + ... + 630188.

It is an arithmetic number, because the mean of its divisors is an integer number (4138614480).

Almost surely, 2115051132116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115051132116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148990121280).

115051132116 is an abundant number, since it is smaller than the sum of its proper divisors (182929110444).

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

115051132116 is a wasteful number, since it uses less digits than its factorization.

115051132116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221853 (or 221848 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

Adding to 115051132116 its reverse (611231150511), we get a palindrome (726282282627).

The spelling of 115051132116 in words is "one hundred fifteen billion, fifty-one million, one hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 307 423 564 614 846 921 1228 1692 1842 2763 3684 5526 11052 14429 28858 43287 57716 86574 129861 173148 221489 259722 442978 519444 664467 885956 1328934 1993401 2657868 3986802 7973604 10409983 20819966 31229949 41639932 62459898 67997123 93689847 124919796 135994246 187379694 203991369 271988492 374759388 407982738 611974107 815965476 1223948214 2447896428 3195864781 6391729562 9587594343 12783459124 19175188686 28762783029 38350377372 57525566058 115051132116