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31186038413 is a prime number
BaseRepresentation
bin11101000010110101…
…010010111010001101
32222111102000220012202
4131002311102322031
51002332111212123
622154321011245
72152550644535
oct350265227215
988442026182
1031186038413
1112253784272
126064183b25
132c3000b78a
14171bb824c5
15c27d07a28
hex742d52e8d

31186038413 has 2 divisors, whose sum is σ = 31186038414. Its totient is φ = 31186038412.

The previous prime is 31186038371. The next prime is 31186038419. The reversal of 31186038413 is 31483068113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28364622724 + 2821415689 = 168418^2 + 53117^2 .

It is a cyclic number.

It is not a de Polignac number, because 31186038413 - 26 = 31186038349 is a prime.

It is a super-2 number, since 2×311860384132 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31186038419) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15593019206 + 15593019207.

It is an arithmetic number, because the mean of its divisors is an integer number (15593019207).

Almost surely, 231186038413 is an apocalyptic number.

It is an amenable number.

31186038413 is a deficient number, since it is larger than the sum of its proper divisors (1).

31186038413 is an equidigital number, since it uses as much as digits as its factorization.

31186038413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 31186038413 in words is "thirty-one billion, one hundred eighty-six million, thirty-eight thousand, four hundred thirteen".