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21100330031232 = 273160734193389
BaseRepresentation
bin1001100110000110011011…
…01011010001100010000000
32202201011122021112121010110
410303003031223101202000
510231201433441444412
6112513205141231320
74305306563664414
oct463031553214200
982634567477113
1021100330031232
1167a5666244411
122449475a02540
13ba09a257305a
1452d3934b4d44
15268d047c8d3c
hex1330cdad1880

21100330031232 has 64 divisors (see below), whose sum is σ = 56082630542400. Its totient is φ = 7029066384384.

The previous prime is 21100330031177. The next prime is 21100330031237. The reversal of 21100330031232 is 23213003300112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×211003300312322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21100330031199 and 21100330031208.

It is not an unprimeable number, because it can be changed into a prime (21100330031237) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16479607 + ... + 17713782.

It is an arithmetic number, because the mean of its divisors is an integer number (876291102225).

Almost surely, 221100330031232 is an apocalyptic number.

It is an amenable number.

21100330031232 is an abundant number, since it is smaller than the sum of its proper divisors (34982300511168).

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

21100330031232 is a wasteful number, since it uses less digits than its factorization.

21100330031232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34195013 (or 34195001 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21100330031232 its reverse (23213003300112), we get a palindrome (44313333331344).

The spelling of 21100330031232 in words is "twenty-one trillion, one hundred billion, three hundred thirty million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1607 3214 4821 6428 9642 12856 19284 25712 38568 51424 77136 102848 154272 205696 308544 617088 34193389 68386778 102580167 136773556 205160334 273547112 410320668 547094224 820641336 1094188448 1641282672 2188376896 3282565344 4376753792 6565130688 13130261376 54948776123 109897552246 164846328369 219795104492 329692656738 439590208984 659385313476 879180417968 1318770626952 1758360835936 2637541253904 3516721671872 5275082507808 7033443343744 10550165015616 21100330031232