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102805307517 = 31123135448363
BaseRepresentation
bin101111110111110101…
…1001000000001111101
3100211100200022201201010
41133233223020001331
53141021124320032
6115121134305433
710266416460423
oct1375753100175
9324320281633
10102805307517
113a665a09170
1217b11358279
139904a77713
144d93867113
152a1a671ccc
hex17efac807d

102805307517 has 16 divisors (see below), whose sum is σ = 156036515328. Its totient is φ = 59597279280.

The previous prime is 102805307513. The next prime is 102805307519. The reversal of 102805307517 is 715703508201.

It is not a de Polignac number, because 102805307517 - 22 = 102805307513 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102805307513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67723423 + ... + 67724940.

It is an arithmetic number, because the mean of its divisors is an integer number (9752282208).

Almost surely, 2102805307517 is an apocalyptic number.

It is an amenable number.

102805307517 is a deficient number, since it is larger than the sum of its proper divisors (53231207811).

102805307517 is a wasteful number, since it uses less digits than its factorization.

102805307517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135448400.

The product of its (nonzero) digits is 58800, while the sum is 39.

The spelling of 102805307517 in words is "one hundred two billion, eight hundred five million, three hundred seven thousand, five hundred seventeen".

Divisors: 1 3 11 23 33 69 253 759 135448363 406345089 1489931993 3115312349 4469795979 9345937047 34268435839 102805307517