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102420000976 = 2473137640061
BaseRepresentation
bin101111101100010110…
…1010011000011010000
3100210100211022010111111
41133120231103003100
53134224010012401
6115015012023104
710254030433636
oct1373055230320
9323324263444
10102420000976
113a488469707
1217a24301a94
139872cac097
144d58609356
1529e6911e51
hex17d8b530d0

102420000976 has 40 divisors (see below), whose sum is σ = 202625707464. Its totient is φ = 50139740160.

The previous prime is 102420000961. The next prime is 102420000989. The reversal of 102420000976 is 679000024201.

It can be written as a sum of positive squares in 4 ways, for example, as 1130573376 + 101289427600 = 33624^2 + 318260^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160015 + ... + 480046.

Almost surely, 2102420000976 is an apocalyptic number.

102420000976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102420000976 is the 160016-th decagonal number.

It is an amenable number.

102420000976 is a deficient number, since it is larger than the sum of its proper divisors (100205706488).

102420000976 is a wasteful number, since it uses less digits than its factorization.

102420000976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640279 (or 640273 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 102420000976 in words is "one hundred two billion, four hundred twenty million, nine hundred seventy-six", and thus it is an aban number.

Divisors: 1 2 4 8 16 73 137 146 274 292 548 584 1096 1168 2192 10001 20002 40004 80008 160016 640061 1280122 2560244 5120488 10240976 46724453 87688357 93448906 175376714 186897812 350753428 373795624 701506856 747591248 1403013712 6401250061 12802500122 25605000244 51210000488 102420000976