Search a number
-
+
131058131305669 is a prime number
BaseRepresentation
bin11101110011001001011001…
…010111001000010011000101
3122012001000221111202000021221
4131303021121113020103011
5114134224023103240134
61142423135132040341
736414431445333001
oct3563113127102305
9565030844660257
10131058131305669
11388394944974a7
1212847b3b0030b1
1358189620b86c9
142451366c1d701
1510241c948a5b4
hex7732595c84c5

131058131305669 has 2 divisors, whose sum is σ = 131058131305670. Its totient is φ = 131058131305668.

The previous prime is 131058131305613. The next prime is 131058131305679. The reversal of 131058131305669 is 966503131850131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119877600992769 + 11180530312900 = 10948863^2 + 3343730^2 .

It is a cyclic number.

It is not a de Polignac number, because 131058131305669 - 219 = 131058130781381 is a prime.

It is a super-2 number, since 2×1310581313056692 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131058131305679) 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, 65529065652834 + 65529065652835.

It is an arithmetic number, because the mean of its divisors is an integer number (65529065652835).

Almost surely, 2131058131305669 is an apocalyptic number.

It is an amenable number.

131058131305669 is a deficient number, since it is larger than the sum of its proper divisors (1).

131058131305669 is an equidigital number, since it uses as much as digits as its factorization.

131058131305669 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1749600, while the sum is 52.

The spelling of 131058131305669 in words is "one hundred thirty-one trillion, fifty-eight billion, one hundred thirty-one million, three hundred five thousand, six hundred sixty-nine".