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102111011202112 = 26118910116135727
BaseRepresentation
bin10111001101111010010010…
…100011001110010001000000
3111101112201100221022202010221
4113031322102203032101000
5101340441322331431422
61001101052335032424
730336164022246013
oct2715722243162100
9441481327282127
10102111011202112
112a5990448821a0
12b55196b06b714
1344c9047537153
141b302b0cab37a
15bc121d53a3c7
hex5cde928ce440

102111011202112 has 112 divisors (see below), whose sum is σ = 225743998152960. Its totient is φ = 45438204416000.

The previous prime is 102111011202089. The next prime is 102111011202133. The reversal of 102111011202112 is 211202110111201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1739608 + ... + 14396119.

It is an arithmetic number, because the mean of its divisors is an integer number (2015571412080).

Almost surely, 2102111011202112 is an apocalyptic number.

It is an amenable number.

102111011202112 is an abundant number, since it is smaller than the sum of its proper divisors (123632986950848).

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

102111011202112 is a wasteful number, since it uses less digits than its factorization.

102111011202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16135940 (or 16135930 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 102111011202112 its reverse (211202110111201), we get a palindrome (313313121313313).

The spelling of 102111011202112 in words is "one hundred two trillion, one hundred eleven billion, eleven million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 101 176 178 202 352 356 404 704 712 808 979 1111 1424 1616 1958 2222 2848 3232 3916 4444 5696 6464 7832 8888 8989 15664 17776 17978 31328 35552 35956 62656 71104 71912 98879 143824 197758 287648 395516 575296 791032 1582064 3164128 6328256 16135727 32271454 64542908 129085816 177492997 258171632 354985994 516343264 709971988 1032686528 1419943976 1436079703 1629708427 2839887952 2872159406 3259416854 5679775904 5744318812 6518833708 11359551808 11488637624 13037667416 15796876733 17926792697 22977275248 26075334832 31593753466 35853585394 45954550496 52150669664 63187506932 71707170788 91909100992 104301339328 126375013864 143414341576 145044050003 252750027728 286828683152 290088100006 505500055456 573657366304 580176200012 1011000110912 1147314732608 1160352400024 1595484550033 2320704800048 3190969100066 4641409600096 6381938200132 9282819200192 12763876400264 25527752800528 51055505601056 102111011202112