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102876909841 is a prime number
BaseRepresentation
bin101111111001111110…
…0010001000100010001
3100211112200001111122001
41133303330101010101
53141142442103331
6115132213114001
710301246206516
oct1376374210421
9324480044561
10102876909841
113a6a2374042
1217b31328901
139916857664
144d9d18530d
152a21ab7561
hex17f3f11111

102876909841 has 2 divisors, whose sum is σ = 102876909842. Its totient is φ = 102876909840.

The previous prime is 102876909731. The next prime is 102876909869. The reversal of 102876909841 is 148909678201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60329184400 + 42547725441 = 245620^2 + 206271^2 .

It is a cyclic number.

It is not a de Polignac number, because 102876909841 - 27 = 102876909713 is a prime.

It is a super-3 number, since 3×1028769098413 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (102876909871) 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, 51438454920 + 51438454921.

It is an arithmetic number, because the mean of its divisors is an integer number (51438454921).

Almost surely, 2102876909841 is an apocalyptic number.

It is an amenable number.

102876909841 is a deficient number, since it is larger than the sum of its proper divisors (1).

102876909841 is an equidigital number, since it uses as much as digits as its factorization.

102876909841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 55.

The spelling of 102876909841 in words is "one hundred two billion, eight hundred seventy-six million, nine hundred nine thousand, eight hundred forty-one".