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131295805829 is a prime number
BaseRepresentation
bin111101001000111010…
…1110000000110000101
3110112220020020000001022
41322101311300012011
54122343211241304
6140152204440525
712325426635626
oct1722165600605
9415806200038
10131295805829
1150756072241
1221542849145
13c4c54a1746
1464d7617a4d
1536369c5ebe
hex1e91d70185

131295805829 has 2 divisors, whose sum is σ = 131295805830. Its totient is φ = 131295805828.

The previous prime is 131295805777. The next prime is 131295805843. The reversal of 131295805829 is 928508592131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130250253604 + 1045552225 = 360902^2 + 32335^2 .

It is a cyclic number.

It is not a de Polignac number, because 131295805829 - 228 = 131027370373 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131295802829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65647902914 + 65647902915.

It is an arithmetic number, because the mean of its divisors is an integer number (65647902915).

Almost surely, 2131295805829 is an apocalyptic number.

It is an amenable number.

131295805829 is a deficient number, since it is larger than the sum of its proper divisors (1).

131295805829 is an equidigital number, since it uses as much as digits as its factorization.

131295805829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1555200, while the sum is 53.

The spelling of 131295805829 in words is "one hundred thirty-one billion, two hundred ninety-five million, eight hundred five thousand, eight hundred twenty-nine".