Search a number
-
+
131295234529 is a prime number
BaseRepresentation
bin111101001000111001…
…1100100100111100001
3110112220012010222101001
41322101303210213201
54122343040001104
6140152144312001
712325422036214
oct1722163444741
9415805128331
10131295234529
1150755811a98
1221542612601
13c4c53316b4
1464d750977b
153636911aa4
hex1e91ce49e1

131295234529 has 2 divisors, whose sum is σ = 131295234530. Its totient is φ = 131295234528.

The previous prime is 131295234527. The next prime is 131295234593. The reversal of 131295234529 is 925432592131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126849945600 + 4445288929 = 356160^2 + 66673^2 .

It is a cyclic number.

It is not a de Polignac number, because 131295234529 - 21 = 131295234527 is a prime.

It is a super-2 number, since 2×1312952345292 (a number of 23 digits) contains 22 as substring.

Together with 131295234527, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (131295234527) 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, 65647617264 + 65647617265.

It is an arithmetic number, because the mean of its divisors is an integer number (65647617265).

Almost surely, 2131295234529 is an apocalyptic number.

It is an amenable number.

131295234529 is a deficient number, since it is larger than the sum of its proper divisors (1).

131295234529 is an equidigital number, since it uses as much as digits as its factorization.

131295234529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 583200, while the sum is 46.

The spelling of 131295234529 in words is "one hundred thirty-one billion, two hundred ninety-five million, two hundred thirty-four thousand, five hundred twenty-nine".