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102159468621 = 33723228110303
BaseRepresentation
bin101111100100100101…
…1011100100001001101
3100202200200001201022000
41133021023130201031
53133210310443441
6114533103542513
710244415104250
oct1371113344115
9322620051260
10102159468621
113a3643a1911
1217970bbaa39
13983101c722
144d31b8b097
1529cdaec2b6
hex17c92dc84d

102159468621 has 64 divisors (see below), whose sum is σ = 180585431040. Its totient is φ = 55808818560.

The previous prime is 102159468583. The next prime is 102159468629. The reversal of 102159468621 is 126864951201.

102159468621 is a `hidden beast` number, since 1 + 0 + 2 + 15 + 9 + 4 + 6 + 8 + 621 = 666.

It is not a de Polignac number, because 102159468621 - 222 = 102155274317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102159468629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9910356 + ... + 9920658.

It is an arithmetic number, because the mean of its divisors is an integer number (2821647360).

Almost surely, 2102159468621 is an apocalyptic number.

It is an amenable number.

102159468621 is a deficient number, since it is larger than the sum of its proper divisors (78425962419).

102159468621 is a wasteful number, since it uses less digits than its factorization.

102159468621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12623 (or 12617 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 102159468621 in words is "one hundred two billion, one hundred fifty-nine million, four hundred sixty-eight thousand, six hundred twenty-one".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 2281 4347 6843 10303 15967 20529 30909 47901 52463 61587 72121 92727 143703 157389 216363 236969 278181 367241 431109 472167 649089 710907 1101723 1416501 1658783 1947267 2132721 3305169 4976349 6398163 9915507 14929047 23501143 44787141 70503429 164508001 211510287 493524003 540526289 634530861 1480572009 1621578867 3783684023 4441716027 4864736601 11351052069 14594209803 34053156207 102159468621