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102882831417 = 3211431425713
BaseRepresentation
bin101111111010001001…
…0110110110000111001
3100211120002012100111200
41133310102312300321
53141201001101132
6115132544044413
710301350431552
oct1376422666071
9324502170450
10102882831417
113a6a5749003
1217b33303709
139917b4ba52
144d9dc87329
152a22386d7c
hex17f44b6c39

102882831417 has 6 divisors (see below), whose sum is σ = 148608534282. Its totient is φ = 68588554272.

The previous prime is 102882831413. The next prime is 102882831431. The reversal of 102882831417 is 714138288201.

102882831417 is a `hidden beast` number, since 102 + 88 + 28 + 31 + 417 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92924986896 + 9957844521 = 304836^2 + 99789^2 .

It is not a de Polignac number, because 102882831417 - 22 = 102882831413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102882831413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5715712848 + ... + 5715712865.

It is an arithmetic number, because the mean of its divisors is an integer number (24768089047).

Almost surely, 2102882831417 is an apocalyptic number.

It is an amenable number.

102882831417 is a deficient number, since it is larger than the sum of its proper divisors (45725702865).

102882831417 is a wasteful number, since it uses less digits than its factorization.

102882831417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11431425719 (or 11431425716 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 102882831417 in words is "one hundred two billion, eight hundred eighty-two million, eight hundred thirty-one thousand, four hundred seventeen".

Divisors: 1 3 9 11431425713 34294277139 102882831417