Search a number
-
+
102212366543514 = 232971033071851329
BaseRepresentation
bin10111001111011000101011…
…110011001010101010011010
3111101220101222120021120021100
4113033120223303022222122
5101344121411313343024
61001215413555452230
730346412504400123
oct2717305363125232
9441811876246240
10102212366543514
112a628026274357
12b5695368b7076
13450577aa8a246
141b35167d3704a
15bc3ba17477c9
hex5cf62bccaa9a

102212366543514 has 96 divisors (see below), whose sum is σ = 226651489384320. Its totient is φ = 33283382132736.

The previous prime is 102212366543513. The next prime is 102212366543549. The reversal of 102212366543514 is 415345663212201.

102212366543514 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 2 + 36 + 65 + 43 + 514 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 102212366543514.

It is not an unprimeable number, because it can be changed into a prime (102212366543513) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54284602 + ... + 56135930.

It is an arithmetic number, because the mean of its divisors is an integer number (2360953014420).

Almost surely, 2102212366543514 is an apocalyptic number.

102212366543514 is an abundant number, since it is smaller than the sum of its proper divisors (124439122840806).

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

102212366543514 is a wasteful number, since it uses less digits than its factorization.

102212366543514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851844 (or 1851841 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 102212366543514 in words is "one hundred two trillion, two hundred twelve billion, three hundred sixty-six million, five hundred forty-three thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 97 103 194 206 291 307 309 582 614 618 873 921 927 1746 1842 1854 2763 5526 9991 19982 29779 29973 31621 59558 59946 63242 89337 89919 94863 178674 179838 189726 268011 284589 536022 569178 1851329 3067237 3702658 5553987 6134474 9201711 11107974 16661961 18403422 27605133 33323922 55210266 179578913 190686887 359157826 381373774 538736739 568358003 572060661 1077473478 1136716006 1144121322 1616210217 1705074009 1716181983 3232420434 3410148018 3432363966 5115222027 10230444054 18496628039 36993256078 55130726291 55489884117 58540874309 110261452582 110979768234 117081748618 165392178873 166469652351 175622622927 330784357746 332939304702 351245245854 496176536619 526867868781 992353073238 1053735737562 5678464807973 11356929615946 17035394423919 34070788847838 51106183271757 102212366543514