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100876138769811 = 31924313936742463
BaseRepresentation
bin10110111011111100001110…
…011010101110110110010011
3111020011122221112222112012210
4112323330032122232312103
5101210223313011113221
6554313505225123203
730151026520620066
oct2673741632566623
9436148845875183
10100876138769811
112a16236a555619
12b39257a929503
13443976b2a2122
141aca6071a28dd
15b9e0470bc276
hex5bbf0e6aed93

100876138769811 has 96 divisors (see below), whose sum is σ = 146701447495680. Its totient is φ = 61612099754688.

The previous prime is 100876138769803. The next prime is 100876138769843. The reversal of 100876138769811 is 118967831678001.

It is not a de Polignac number, because 100876138769811 - 23 = 100876138769803 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100876138769891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2375603166 + ... + 2375645628.

It is an arithmetic number, because the mean of its divisors is an integer number (1528140078080).

Almost surely, 2100876138769811 is an apocalyptic number.

100876138769811 is a deficient number, since it is larger than the sum of its proper divisors (45825308725869).

100876138769811 is a wasteful number, since it uses less digits than its factorization.

100876138769811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43053 (or 43034 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 66.

The spelling of 100876138769811 in words is "one hundred trillion, eight hundred seventy-six billion, one hundred thirty-eight million, seven hundred sixty-nine thousand, eight hundred eleven".

Divisors: 1 3 19 43 57 129 139 361 367 417 817 1083 1101 2451 2641 5977 6973 7923 15523 15781 17931 20919 42463 46569 47343 50179 51013 113563 127389 132487 150537 153039 299839 340689 397461 806797 899517 969247 1825909 2157697 2193559 2420391 2907741 5477727 5696941 5902357 6473091 6580677 15329143 15583921 17090823 17707071 18415693 34692271 41677621 45987429 46751763 55247079 104076813 112144783 125032863 253801351 296094499 336434349 659153149 670108603 761404053 791874799 888283497 1977459447 2010325809 2130750877 2166165019 2375624397 4822225669 5625795481 6392252631 6498495057 12732063457 14466677007 16877386443 38196190371 41157135361 91622287711 93145095817 123471406083 241909205683 274866863133 279435287451 725727617049 781985571859 1769756820523 2345956715577 5309270461569 33625379589937 100876138769811