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131032201301112 = 23337213812887817
BaseRepresentation
bin11101110010110001001111…
…110100000000110001111000
3122011221120000101212022001210
4131302301033310000301320
5114133312422013113422
61142403210130043120
736412523046045036
oct3562611764006170
9564846011768053
10131032201301112
11388294986a5271
1212842b031194a0
13581638bcb1747
14244ddc7149556
1510236acd1110c
hex772c4fd00c78

131032201301112 has 96 divisors (see below), whose sum is σ = 336917221063920. Its totient is φ = 42466142868480.

The previous prime is 131032201301101. The next prime is 131032201301161. The reversal of 131032201301112 is 211103102230131.

131032201301112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43930228 + ... + 46818044.

Almost surely, 2131032201301112 is an apocalyptic number.

131032201301112 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 131032201301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168458610531960).

131032201301112 is an abundant number, since it is smaller than the sum of its proper divisors (205885019762808).

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

131032201301112 is a wasteful number, since it uses less digits than its factorization.

131032201301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889281 (or 2889240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 131032201301112 its reverse (211103102230131), we get a palindrome (342135303531243).

The spelling of 131032201301112 in words is "one hundred thirty-one trillion, thirty-two billion, two hundred one million, three hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 1369 1381 2738 2762 4107 4143 5476 5524 8214 8286 10952 11048 16428 16572 32856 33144 51097 102194 153291 204388 306582 408776 613164 1226328 1890589 2887817 3781178 5671767 5775634 7562356 8663451 11343534 11551268 15124712 17326902 22687068 23102536 34653804 45374136 69307608 106849229 213698458 320547687 427396916 641095374 854793832 1282190748 2564381496 3953421473 3988075277 7906842946 7976150554 11860264419 11964225831 15813685892 15952301108 23720528838 23928451662 31627371784 31904602216 47441057676 47856903324 94882115352 95713806648 147558785249 295117570498 442676355747 590235140996 885352711494 1180470281992 1770705422988 3541410845976 5459675054213 10919350108426 16379025162639 21838700216852 32758050325278 43677400433704 65516100650556 131032201301112