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101879064097 is a prime number
BaseRepresentation
bin101111011100001110…
…1110010011000100001
3100201222010102200121021
41132320131302120201
53132122020022342
6114445205525441
710234441520326
oct1367035623041
9321863380537
10101879064097
113a230091838
12178b3113881
1397b7bc2ba5
144d06838b4d
1529b41ae567
hex17b8772621

101879064097 has 2 divisors, whose sum is σ = 101879064098. Its totient is φ = 101879064096.

The previous prime is 101879064083. The next prime is 101879064101. The reversal of 101879064097 is 790460978101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97213627681 + 4665436416 = 311791^2 + 68304^2 .

It is a cyclic number.

It is not a de Polignac number, because 101879064097 - 211 = 101879062049 is a prime.

It is not a weakly prime, because it can be changed into another prime (101879034097) 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, 50939532048 + 50939532049.

It is an arithmetic number, because the mean of its divisors is an integer number (50939532049).

Almost surely, 2101879064097 is an apocalyptic number.

It is an amenable number.

101879064097 is a deficient number, since it is larger than the sum of its proper divisors (1).

101879064097 is an equidigital number, since it uses as much as digits as its factorization.

101879064097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 762048, while the sum is 52.

The spelling of 101879064097 in words is "one hundred one billion, eight hundred seventy-nine million, sixty-four thousand, ninety-seven".