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102744282413 is a prime number
BaseRepresentation
bin101111110110000001…
…0010101010100101101
3100211012102111100000002
41133230002111110231
53140410014014123
6115111114314045
710265045663603
oct1375402252455
9324172440002
10102744282413
113a6345180a3
1217ab4a28925
1398c522bca6
144d896dd873
152a1511a528
hex17ec09552d

102744282413 has 2 divisors, whose sum is σ = 102744282414. Its totient is φ = 102744282412.

The previous prime is 102744282373. The next prime is 102744282427. The reversal of 102744282413 is 314282447201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71769338404 + 30974944009 = 267898^2 + 175997^2 .

It is a cyclic number.

It is not a de Polignac number, because 102744282413 - 214 = 102744266029 is a prime.

It is a super-2 number, since 2×1027442824132 (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 (102744282313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51372141206 + 51372141207.

It is an arithmetic number, because the mean of its divisors is an integer number (51372141207).

Almost surely, 2102744282413 is an apocalyptic number.

It is an amenable number.

102744282413 is a deficient number, since it is larger than the sum of its proper divisors (1).

102744282413 is an equidigital number, since it uses as much as digits as its factorization.

102744282413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 102744282413 in words is "one hundred two billion, seven hundred forty-four million, two hundred eighty-two thousand, four hundred thirteen".