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102406037132 = 22719767325087
BaseRepresentation
bin101111101011111100…
…0000001111010001100
3100210022212000200201002
41133113320001322030
53134211421142012
6115013352435432
710253500645010
oct1372770017214
9323285020632
10102406037132
113a4805a1443
1217a1b6a8b78
139870130259
144d56812540
1529e55a47c2
hex17d7e01e8c

102406037132 has 48 divisors (see below), whose sum is σ = 215628349440. Its totient is φ = 41571315072.

The previous prime is 102406037089. The next prime is 102406037147. The reversal of 102406037132 is 231730604201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102406037095 and 102406037104.

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, 4069493 + ... + 4094579.

It is an arithmetic number, because the mean of its divisors is an integer number (4492257280).

Almost surely, 2102406037132 is an apocalyptic number.

It is an amenable number.

102406037132 is an abundant number, since it is smaller than the sum of its proper divisors (113222312308).

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

102406037132 is a wasteful number, since it uses less digits than its factorization.

102406037132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32790 (or 32788 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 102406037132 in words is "one hundred two billion, four hundred six million, thirty-seven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 7673 15346 25087 30692 50174 53711 100348 107422 145787 175609 214844 291574 351218 476653 583148 702436 953306 1020509 1906612 2041018 3336571 4082036 6673142 13346284 192492551 384985102 769970204 1347447857 2694895714 3657358469 5389791428 7314716938 14629433876 25601509283 51203018566 102406037132