Search a number
-
+
131120312510641 is a prime number
BaseRepresentation
bin11101110100000011010011…
…101001100110100010110001
3122012020222110000122111202111
4131310003103221212202301
5114141233400000320031
61142511501235045321
736422062402006606
oct3564032351464261
9565228400574674
10131120312510641
11388628a31270a3
1212857bb3440841
1358217916c640c
14245438525a6ad
151025b184461b1
hex7740d3a668b1

131120312510641 has 2 divisors, whose sum is σ = 131120312510642. Its totient is φ = 131120312510640.

The previous prime is 131120312510597. The next prime is 131120312510689. The reversal of 131120312510641 is 146015213021131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116283980085025 + 14836332425616 = 10783505^2 + 3851796^2 .

It is a cyclic number.

It is not a de Polignac number, because 131120312510641 - 225 = 131120278956209 is a prime.

It is not a weakly prime, because it can be changed into another prime (131120312520641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65560156255320 + 65560156255321.

It is an arithmetic number, because the mean of its divisors is an integer number (65560156255321).

Almost surely, 2131120312510641 is an apocalyptic number.

It is an amenable number.

131120312510641 is a deficient number, since it is larger than the sum of its proper divisors (1).

131120312510641 is an equidigital number, since it uses as much as digits as its factorization.

131120312510641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

Adding to 131120312510641 its reverse (146015213021131), we get a palindrome (277135525531772).

The spelling of 131120312510641 in words is "one hundred thirty-one trillion, one hundred twenty billion, three hundred twelve million, five hundred ten thousand, six hundred forty-one".