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131021186858701 is a prime number
BaseRepresentation
bin11101110010100110111111…
…010011001111111011001101
3122011220111120210020122120021
4131302212333103033323031
5114133122342313434301
61142354145144222141
736411653102611036
oct3562467723177315
9564814523218507
10131021186858701
11388248562a26a7
121284094a46a951
13581532509b4b9
14244d660399a8d
151023265d6c8a1
hex7729bf4cfecd

131021186858701 has 2 divisors, whose sum is σ = 131021186858702. Its totient is φ = 131021186858700.

The previous prime is 131021186858609. The next prime is 131021186858713. The reversal of 131021186858701 is 107858681120131.

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., 94317097466601 + 36704089392100 = 9711699^2 + 6058390^2 .

It is a cyclic number.

It is not a de Polignac number, because 131021186858701 - 213 = 131021186850509 is a prime.

It is a super-2 number, since 2×1310211868587012 (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 (131021186858791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65510593429350 + 65510593429351.

It is an arithmetic number, because the mean of its divisors is an integer number (65510593429351).

Almost surely, 2131021186858701 is an apocalyptic number.

It is an amenable number.

131021186858701 is a deficient number, since it is larger than the sum of its proper divisors (1).

131021186858701 is an equidigital number, since it uses as much as digits as its factorization.

131021186858701 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 52.

The spelling of 131021186858701 in words is "one hundred thirty-one trillion, twenty-one billion, one hundred eighty-six million, eight hundred fifty-eight thousand, seven hundred one".