Search a number
-
+
131142422220409 is a prime number
BaseRepresentation
bin11101110100010111111001…
…011111011100111001111001
3122012100002111212222010202001
4131310113321133130321321
5114142114140042023114
61142525555210541001
736423504322311055
oct3564277137347171
9565302455863661
10131142422220409
1138871209516306
1212860343a37761
1358238a61ab612
1424554817d8c65
1510264ae4e6374
hex7745f97dce79

131142422220409 has 2 divisors, whose sum is σ = 131142422220410. Its totient is φ = 131142422220408.

The previous prime is 131142422220377. The next prime is 131142422220443. The reversal of 131142422220409 is 904022224241131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115018181970409 + 16124240250000 = 10724653^2 + 4015500^2 .

It is a cyclic number.

It is not a de Polignac number, because 131142422220409 - 25 = 131142422220377 is a prime.

It is a super-2 number, since 2×1311424222204092 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (131142422220479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65571211110204 + 65571211110205.

It is an arithmetic number, because the mean of its divisors is an integer number (65571211110205).

Almost surely, 2131142422220409 is an apocalyptic number.

It is an amenable number.

131142422220409 is a deficient number, since it is larger than the sum of its proper divisors (1).

131142422220409 is an equidigital number, since it uses as much as digits as its factorization.

131142422220409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 131142422220409 in words is "one hundred thirty-one trillion, one hundred forty-two billion, four hundred twenty-two million, two hundred twenty thousand, four hundred nine".