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114131202312 = 233171312135369
BaseRepresentation
bin110101001001010111…
…1111111000100001000
3101220120222222210120010
41222102233333010020
53332220041433222
6124233043431520
711150164133031
oct1522257770410
9356528883503
10114131202312
11444480a75a6
121a1523855a0
13a9bb36840a
145749b2ba88
152e7eb3780c
hex1a92bff108

114131202312 has 64 divisors (see below), whose sum is σ = 304418347200. Its totient is φ = 35532523520.

The previous prime is 114131202307. The next prime is 114131202331. The reversal of 114131202312 is 213202131411.

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 15 ways as a sum of consecutive naturals, for example, 1014237 + ... + 1121132.

It is an arithmetic number, because the mean of its divisors is an integer number (4756536675).

Almost surely, 2114131202312 is an apocalyptic number.

114131202312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114131202312 is an abundant number, since it is smaller than the sum of its proper divisors (190287144888).

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

114131202312 is a wasteful number, since it uses less digits than its factorization.

114131202312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135526 (or 2135522 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 114131202312 its reverse (213202131411), we get a palindrome (327333333723).

The spelling of 114131202312 in words is "one hundred fourteen billion, one hundred thirty-one million, two hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 131 136 204 262 393 408 524 786 1048 1572 2227 3144 4454 6681 8908 13362 17816 26724 53448 2135369 4270738 6406107 8541476 12812214 17082952 25624428 36301273 51248856 72602546 108903819 145205092 217807638 279733339 290410184 435615276 559466678 839200017 871230552 1118933356 1678400034 2237866712 3356800068 4755466763 6713600136 9510933526 14266400289 19021867052 28532800578 38043734104 57065601156 114131202312