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115051601106 = 232137111361283
BaseRepresentation
bin110101100100110011…
…1000001110011010010
3101222222010212220100100
41223021213001303102
53341111202213411
6124504243033230
711212041321321
oct1531147016322
9358863786310
10115051601106
114487a6a1862
121a36a66b816
13ab06c548a0
1457d60780b8
152ed5843456
hex1ac99c1cd2

115051601106 has 96 divisors (see below), whose sum is σ = 274648413312. Its totient is φ = 34592463360.

The previous prime is 115051601087. The next prime is 115051601123. The reversal of 115051601106 is 601106150511.

115051601106 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 51 + 601 + 1 + 0 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 115051601106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1846741 + ... + 1908023.

It is an arithmetic number, because the mean of its divisors is an integer number (2860920972).

Almost surely, 2115051601106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115051601106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137324206656).

115051601106 is an abundant number, since it is smaller than the sum of its proper divisors (159596812206).

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

115051601106 is a wasteful number, since it uses less digits than its factorization.

115051601106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61488 (or 61485 counting only the distinct ones).

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

Adding to 115051601106 its reverse (601106150511), we get a palindrome (716157751617).

The spelling of 115051601106 in words is "one hundred fifteen billion, fifty-one million, six hundred one thousand, one hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 113 117 142 213 226 234 339 426 639 678 923 1017 1278 1469 1846 2034 2769 2938 4407 5538 8023 8307 8814 13221 16046 16614 24069 26442 48138 61283 72207 104299 122566 144414 183849 208598 312897 367698 551547 625794 796679 938691 1103094 1593358 1877382 2390037 4351093 4780074 6924979 7170111 8702186 13053279 13849958 14340222 20774937 26106558 39159837 41549874 56564209 62324811 78319674 90024727 113128418 124649622 169692627 180049454 270074181 339385254 491673509 509077881 540148362 810222543 983347018 1018155762 1475020527 1620445086 2950041054 4425061581 6391755617 8850123162 12783511234 19175266851 38350533702 57525800553 115051601106