Search a number
-
+
131103404581 is a prime number
BaseRepresentation
bin111101000011001011…
…1110011001000100101
3110112101211012000011011
41322012113303020211
54121444432421311
6140121132542221
712320602360222
oct1720627631045
9415354160134
10131103404581
11506674aa346
12214aa321971
13c494678056
1464b9c52949
153624b6d321
hex1e865f3225

131103404581 has 2 divisors, whose sum is σ = 131103404582. Its totient is φ = 131103404580.

The previous prime is 131103404501. The next prime is 131103404587. The reversal of 131103404581 is 185404301131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121389528100 + 9713876481 = 348410^2 + 98559^2 .

It is a cyclic number.

It is not a de Polignac number, because 131103404581 - 235 = 96743666213 is a prime.

It is a super-2 number, since 2×1311034045812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131103404587) 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, 65551702290 + 65551702291.

It is an arithmetic number, because the mean of its divisors is an integer number (65551702291).

Almost surely, 2131103404581 is an apocalyptic number.

It is an amenable number.

131103404581 is a deficient number, since it is larger than the sum of its proper divisors (1).

131103404581 is an equidigital number, since it uses as much as digits as its factorization.

131103404581 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 131103404581 in words is "one hundred thirty-one billion, one hundred three million, four hundred four thousand, five hundred eighty-one".