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102817382399 = 616725157177
BaseRepresentation
bin101111111000001100…
…1001011111111111111
3100211101112001012022222
41133300121023333333
53141032222214044
6115122245155555
710266624221234
oct1376031137777
9324345035288
10102817382399
113a671806206
1217b153bbbbb
139907414814
144d952cb78b
152a1b7598ee
hex17f064bfff

102817382399 has 8 divisors (see below), whose sum is σ = 106062662448. Its totient is φ = 99622416960.

The previous prime is 102817382359. The next prime is 102817382413. The reversal of 102817382399 is 993283718201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102817382399 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102817382399.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102817382329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12574502 + ... + 12582675.

It is an arithmetic number, because the mean of its divisors is an integer number (13257832806).

Almost surely, 2102817382399 is an apocalyptic number.

102817382399 is a deficient number, since it is larger than the sum of its proper divisors (3245280049).

102817382399 is an equidigital number, since it uses as much as digits as its factorization.

102817382399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25157305.

The product of its (nonzero) digits is 1306368, while the sum is 53.

The spelling of 102817382399 in words is "one hundred two billion, eight hundred seventeen million, three hundred eighty-two thousand, three hundred ninety-nine".

Divisors: 1 61 67 4087 25157177 1534587797 1685530859 102817382399