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102310132112132 = 22767887128947699
BaseRepresentation
bin10111010000110011101111…
…000101001101101100000100
3111102020202100000110000220012
4113100303233011031230010
5101402222122310042012
61001332343103125352
730356443310123330
oct2720635705155404
9442222300400805
10102310132112132
112a6655353a304a
12b5844802a3858
134511a5b6a1329
141b39ba03167c0
15bc64c4713622
hex5d0cef14db04

102310132112132 has 96 divisors (see below), whose sum is σ = 208074085632000. Its totient is φ = 43109693561088.

The previous prime is 102310132112131. The next prime is 102310132112159. The reversal of 102310132112132 is 231211231013201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102310132112098 and 102310132112107.

It is not an unprimeable number, because it can be changed into a prime (102310132112131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2144887619 + ... + 2144935317.

It is an arithmetic number, because the mean of its divisors is an integer number (2167438392000).

Almost surely, 2102310132112132 is an apocalyptic number.

It is an amenable number.

102310132112132 is an abundant number, since it is smaller than the sum of its proper divisors (105763953519868).

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

102310132112132 is a wasteful number, since it uses less digits than its factorization.

102310132112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49953 (or 49951 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 102310132112132 its reverse (231211231013201), we get a palindrome (333521363125333).

The spelling of 102310132112132 in words is "one hundred two trillion, three hundred ten billion, one hundred thirty-two million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 67 134 268 469 887 938 1289 1774 1876 2578 3548 5156 6209 9023 12418 18046 24836 36092 47699 59429 86363 95398 118858 172726 190796 237716 333893 345452 416003 604541 667786 832006 1143343 1209082 1335572 1664012 2286686 2418164 3195833 4573372 6391666 8003401 12783332 16006802 22370831 32013604 42309013 44741662 61484011 76603981 84618026 89483324 122968022 153207962 169236052 245936044 296163091 306415924 430388077 536227867 592326182 860776154 1072455734 1184652364 1721552308 2144911468 2834703871 4119428737 5669407742 8238857474 11338815484 16477714948 19842927097 28836001159 39685854194 54536317757 57672002318 79371708388 109072635514 115344004636 218145271028 381754224299 763508448598 1527016897196 3653933289719 7307866579438 14615733158876 25577533028033 51155066056066 102310132112132