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21132022023112 = 237111326310033703
BaseRepresentation
bin1001100111000001011101…
…01010101000001111001000
32202211012102221121121000111
410303200232222220033020
510232211340114214422
6112535530014444104
74310511130323250
oct463405652501710
982735387547014
1021132022023112
116808049580a40
12245363b503634
13ba398333c680
14530b1c51c960
15269a5bc23a77
hex13382eaa83c8

21132022023112 has 128 divisors (see below), whose sum is σ = 53401780776960. Its totient is φ = 7571030181120.

The previous prime is 21132022023107. The next prime is 21132022023137.

21132022023112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2910748 + ... + 7122955.

It is an arithmetic number, because the mean of its divisors is an integer number (417201412320).

Almost surely, 221132022023112 is an apocalyptic number.

21132022023112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21132022023112 is an abundant number, since it is smaller than the sum of its proper divisors (32269758753848).

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

21132022023112 is a wasteful number, since it uses less digits than its factorization.

21132022023112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10034003 (or 10033999 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 2113202 and 2023112, that added together give a palindrome (4136314).

The spelling of 21132022023112 in words is "twenty-one trillion, one hundred thirty-two billion, twenty-two million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 263 286 308 364 526 572 616 728 1001 1052 1144 1841 2002 2104 2893 3419 3682 4004 5786 6838 7364 8008 11572 13676 14728 20251 23144 23933 27352 37609 40502 47866 75218 81004 95732 150436 162008 191464 263263 300872 526526 1053052 2106104 10033703 20067406 40134812 70235921 80269624 110370733 130438139 140471842 220741466 260876278 280943684 441482932 521752556 561887368 772595131 882965864 913066973 1043505112 1434819529 1545190262 1826133946 2638863889 2869639058 3090380524 3652267892 5277727778 5739278116 6180761048 7304535784 10043736703 10555455556 11478556232 18472047223 20087473406 21110911112 29027502779 34305230557 36944094446 40174946812 58055005558 68610461114 73888188892 80349893624 116110011116 137220922228 147776377784 203192519453 232220022232 240136613899 274441844456 377357536127 406385038906 480273227798 754715072254 812770077812 960546455596 1509430144508 1625540155624 1921092911192 2641502752889 3018860289016 5283005505778 10566011011556 21132022023112