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31131130169 is a prime number
BaseRepresentation
bin11100111111100011…
…110101100100111001
32222100120201021021002
4130333203311210321
51002224032131134
622145040054345
72151313145306
oct347743654471
988316637232
1031131130169
1112225790957
1260499043b5
132c218252a9
14171476c0ad
15c230ad87e
hex73f8f5939

31131130169 has 2 divisors, whose sum is σ = 31131130170. Its totient is φ = 31131130168.

The previous prime is 31131130123. The next prime is 31131130171. The reversal of 31131130169 is 96103113113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30839574544 + 291555625 = 175612^2 + 17075^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31131130169 is a prime.

It is a super-2 number, since 2×311311301692 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 31131130171, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (31131130369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15565565084 + 15565565085.

It is an arithmetic number, because the mean of its divisors is an integer number (15565565085).

Almost surely, 231131130169 is an apocalyptic number.

It is an amenable number.

31131130169 is a deficient number, since it is larger than the sum of its proper divisors (1).

31131130169 is an equidigital number, since it uses as much as digits as its factorization.

31131130169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 29.

The spelling of 31131130169 in words is "thirty-one billion, one hundred thirty-one million, one hundred thirty thousand, one hundred sixty-nine".