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102827591292989 is a prime number
BaseRepresentation
bin10111011000010101101010…
…000011010101100000111101
3111111002012222122012000202202
4113120111222003111200331
5101434211401332333424
61002410202053201245
730442022366441633
oct2730255203254075
9444065878160682
10102827591292989
112a844a33636532
12b648814330225
13454b7a59a4c44
141b56c4c1c7353
15bd4bacec22ae
hex5d856a0d583d

102827591292989 has 2 divisors, whose sum is σ = 102827591292990. Its totient is φ = 102827591292988.

The previous prime is 102827591292973. The next prime is 102827591293057. The reversal of 102827591292989 is 989292195728201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74678252988964 + 28149338304025 = 8641658^2 + 5305595^2 .

It is a cyclic number.

It is not a de Polignac number, because 102827591292989 - 24 = 102827591292973 is a prime.

It is a super-2 number, since 2×1028275912929892 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102827591292289) 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, 51413795646494 + 51413795646495.

It is an arithmetic number, because the mean of its divisors is an integer number (51413795646495).

Almost surely, 2102827591292989 is an apocalyptic number.

It is an amenable number.

102827591292989 is a deficient number, since it is larger than the sum of its proper divisors (1).

102827591292989 is an equidigital number, since it uses as much as digits as its factorization.

102827591292989 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 235146240, while the sum is 74.

The spelling of 102827591292989 in words is "one hundred two trillion, eight hundred twenty-seven billion, five hundred ninety-one million, two hundred ninety-two thousand, nine hundred eighty-nine".