Search a number
-
+
31131323029 is a prime number
BaseRepresentation
bin11100111111100100…
…100100101010010101
32222100121002001211001
4130333210210222111
51002224104314104
622145044143301
72151314610502
oct347744445225
988317061731
1031131323029
1112225902844
126049997b31
132c21892001
1417147bc4a9
15c230eaaa4
hex73f924a95

31131323029 has 2 divisors, whose sum is σ = 31131323030. Its totient is φ = 31131323028.

The previous prime is 31131323017. The next prime is 31131323039. The reversal of 31131323029 is 92032313113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17239164804 + 13892158225 = 131298^2 + 117865^2 .

It is a cyclic number.

It is not a de Polignac number, because 31131323029 - 217 = 31131191957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31131322988 and 31131323006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31131323039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15565661514 + 15565661515.

It is an arithmetic number, because the mean of its divisors is an integer number (15565661515).

Almost surely, 231131323029 is an apocalyptic number.

It is an amenable number.

31131323029 is a deficient number, since it is larger than the sum of its proper divisors (1).

31131323029 is an equidigital number, since it uses as much as digits as its factorization.

31131323029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 31131323029 in words is "thirty-one billion, one hundred thirty-one million, three hundred twenty-three thousand, twenty-nine".