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102817382413 is a prime number
BaseRepresentation
bin101111111000001100…
…1001100000000001101
3100211101112001012100111
41133300121030000031
53141032222214123
6115122245200021
710266624221254
oct1376031140015
9324345035314
10102817382413
113a671806219
1217b15400011
139907414825
144d952cb79b
152a1b75990d
hex17f064c00d

102817382413 has 2 divisors, whose sum is σ = 102817382414. Its totient is φ = 102817382412.

The previous prime is 102817382359. The next prime is 102817382419. The reversal of 102817382413 is 314283718201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94631294884 + 8186087529 = 307622^2 + 90477^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102817382413 is a prime.

It is a super-2 number, since 2×1028173824132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102817382419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51408691206 + 51408691207.

It is an arithmetic number, because the mean of its divisors is an integer number (51408691207).

Almost surely, 2102817382413 is an apocalyptic number.

It is an amenable number.

102817382413 is a deficient number, since it is larger than the sum of its proper divisors (1).

102817382413 is an equidigital number, since it uses as much as digits as its factorization.

102817382413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 102817382413 in words is "one hundred two billion, eight hundred seventeen million, three hundred eighty-two thousand, four hundred thirteen".