Search a number
-
+
131176993 is a prime number
BaseRepresentation
bin1111101000110…
…01101000100001
3100010211111000011
413310121220201
5232040130433
621003324521
73151662133
oct764315041
9303744004
10131176993
1168056242
1237b20741
132123b42c
14135c9053
15b7b23cd
hex7d19a21

131176993 has 2 divisors, whose sum is σ = 131176994. Its totient is φ = 131176992.

The previous prime is 131176987. The next prime is 131177017. The reversal of 131176993 is 399671131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81938704 + 49238289 = 9052^2 + 7017^2 .

It is a cyclic number.

It is not a de Polignac number, because 131176993 - 225 = 97622561 is a prime.

It is not a weakly prime, because it can be changed into another prime (131176933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65588496 + 65588497.

It is an arithmetic number, because the mean of its divisors is an integer number (65588497).

Almost surely, 2131176993 is an apocalyptic number.

It is an amenable number.

131176993 is a deficient number, since it is larger than the sum of its proper divisors (1).

131176993 is an equidigital number, since it uses as much as digits as its factorization.

131176993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30618, while the sum is 40.

The square root of 131176993 is about 11453.2525074758. The cubic root of 131176993 is about 508.1039335673.

The spelling of 131176993 in words is "one hundred thirty-one million, one hundred seventy-six thousand, nine hundred ninety-three".