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131198994264209 is a prime number
BaseRepresentation
bin11101110101001100100101…
…011100101011000010010001
3122012112111112111020201121112
4131311030211130223002101
5114144031020012423314
61143011552542103105
736430546245614264
oct3565144534530221
9565474474221545
10131198994264209
11388931a9a03113
121286b2b187aa95
1358290206a5051
1424580cacc4cdb
151027bc0d1d43e
hex77532572b091

131198994264209 has 2 divisors, whose sum is σ = 131198994264210. Its totient is φ = 131198994264208.

The previous prime is 131198994264197. The next prime is 131198994264211. The reversal of 131198994264209 is 902462499891131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130986193806400 + 212800457809 = 11444920^2 + 461303^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131198994264209 is a prime.

It is a super-3 number, since 3×1311989942642093 (a number of 43 digits) contains 333 as substring.

Together with 131198994264211, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131198994264229) 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, 65599497132104 + 65599497132105.

It is an arithmetic number, because the mean of its divisors is an integer number (65599497132105).

Almost surely, 2131198994264209 is an apocalyptic number.

It is an amenable number.

131198994264209 is a deficient number, since it is larger than the sum of its proper divisors (1).

131198994264209 is an equidigital number, since it uses as much as digits as its factorization.

131198994264209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60466176, while the sum is 68.

The spelling of 131198994264209 in words is "one hundred thirty-one trillion, one hundred ninety-eight billion, nine hundred ninety-four million, two hundred sixty-four thousand, two hundred nine".