Search a number
-
+
131430440114009 is a prime number
BaseRepresentation
bin11101111000100100001000…
…101100100001011101011001
3122020100121221100110002112122
4131320210020230201131121
5114211324020132122014
61143310151033551025
736453351554103551
oct3570441054413531
9566317840402478
10131430440114009
1138972378072733
12128a8124575475
135844ab679c12a
1424653a545a161
15102dc19cbb58e
hex778908b21759

131430440114009 has 2 divisors, whose sum is σ = 131430440114010. Its totient is φ = 131430440114008.

The previous prime is 131430440113967. The next prime is 131430440114041. The reversal of 131430440114009 is 900411044034131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120707906491225 + 10722533622784 = 10986715^2 + 3274528^2 .

It is a cyclic number.

It is not a de Polignac number, because 131430440114009 - 232 = 131426145146713 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131430440114009.

It is not a weakly prime, because it can be changed into another prime (131430440114609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65715220057004 + 65715220057005.

It is an arithmetic number, because the mean of its divisors is an integer number (65715220057005).

Almost surely, 2131430440114009 is an apocalyptic number.

It is an amenable number.

131430440114009 is a deficient number, since it is larger than the sum of its proper divisors (1).

131430440114009 is an equidigital number, since it uses as much as digits as its factorization.

131430440114009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 131430440114009 in words is "one hundred thirty-one trillion, four hundred thirty billion, four hundred forty million, one hundred fourteen thousand, nine".