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110202020100992 = 2723476831166093
BaseRepresentation
bin11001000011101001101000…
…010000101111101110000000
3112110012012200021000020012202
4121003221220100233232000
5103421022214121212432
61030214035323412332
732132555535165041
oct3103515020575600
9473165607006182
10110202020100992
1132128461428146
1210439a816840a8
13496500cc85061
141d2db404308c8
15cb191a1ba462
hex643a6842fb80

110202020100992 has 128 divisors (see below), whose sum is σ = 234305413032960. Its totient is φ = 51508354619392.

The previous prime is 110202020100983. The next prime is 110202020101009. The reversal of 110202020100992 is 299001020202011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 93922298 + ... + 95088390.

It is an arithmetic number, because the mean of its divisors is an integer number (1830511039320).

Almost surely, 2110202020100992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110202020100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117152706516480).

110202020100992 is an abundant number, since it is smaller than the sum of its proper divisors (124103392931968).

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

110202020100992 is a wasteful number, since it uses less digits than its factorization.

110202020100992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166860 (or 1166848 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 110202020100992 in words is "one hundred ten trillion, two hundred two billion, twenty million, one hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 47 64 92 94 128 184 188 368 376 683 736 752 1081 1366 1472 1504 2162 2732 2944 3008 4324 5464 6016 8648 10928 15709 17296 21856 31418 32101 34592 43712 62836 64202 69184 87424 125672 128404 138368 251344 256808 502688 513616 738323 1005376 1027232 1166093 1476646 2010752 2054464 2332186 2953292 4108928 4664372 5906584 9328744 11813168 18657488 23626336 26820139 37314976 47252672 53640278 54806371 74629952 94505344 107280556 109612742 149259904 214561112 219225484 429122224 438450968 796441519 858244448 876901936 1260546533 1592883038 1716488896 1753803872 2521093066 3185766076 3432977792 3507607744 5042186132 6371532152 7015215488 10084372264 12743064304 18318154937 20168744528 25486128608 36636309874 37432751393 40337489056 50972257216 73272619748 74865502786 80674978112 101944514432 146545239496 149731005572 161349956224 293090478992 299462011144 586180957984 598924022288 860953282039 1172361915968 1197848044576 1721906564078 2344723831936 2395696089152 3443813128156 4791392178304 6887626256312 13775252512624 27550505025248 55101010050496 110202020100992