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102590487781 is a prime number
BaseRepresentation
bin101111110001011011…
…1101001110011100101
3100210210201002202102121
41133202313221303211
53140101131102111
6115043542105541
710261200521005
oct1374267516345
9323721082377
10102590487781
113a5657239a1
1217a7141b2b1
13989c401b52
144d73108005
152a0688b871
hex17e2de9ce5

102590487781 has 2 divisors, whose sum is σ = 102590487782. Its totient is φ = 102590487780.

The previous prime is 102590487733. The next prime is 102590487803. The reversal of 102590487781 is 187784095201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87624880225 + 14965607556 = 296015^2 + 122334^2 .

It is a cyclic number.

It is not a de Polignac number, because 102590487781 - 211 = 102590485733 is a prime.

It is a super-2 number, since 2×1025904877812 (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 (102590487721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51295243890 + 51295243891.

It is an arithmetic number, because the mean of its divisors is an integer number (51295243891).

Almost surely, 2102590487781 is an apocalyptic number.

It is an amenable number.

102590487781 is a deficient number, since it is larger than the sum of its proper divisors (1).

102590487781 is an equidigital number, since it uses as much as digits as its factorization.

102590487781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1128960, while the sum is 52.

The spelling of 102590487781 in words is "one hundred two billion, five hundred ninety million, four hundred eighty-seven thousand, seven hundred eighty-one".