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131249548841 is a prime number
BaseRepresentation
bin111101000111100010…
…1010010111000101001
3110112210000011220101112
41322033011102320221
54122244341030331
6140143433200105
712324325520615
oct1721705227051
9415700156345
10131249548841
1150731a48724
122152b260035
13c4b8a26c48
1464d1416345
1536328da32b
hex1e8f152e29

131249548841 has 2 divisors, whose sum is σ = 131249548842. Its totient is φ = 131249548840.

The previous prime is 131249548831. The next prime is 131249548873. The reversal of 131249548841 is 148845942131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111441801241 + 19807747600 = 333829^2 + 140740^2 .

It is a cyclic number.

It is not a de Polignac number, because 131249548841 - 218 = 131249286697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131249548841.

It is not a weakly prime, because it can be changed into another prime (131249548831) 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, 65624774420 + 65624774421.

It is an arithmetic number, because the mean of its divisors is an integer number (65624774421).

Almost surely, 2131249548841 is an apocalyptic number.

It is an amenable number.

131249548841 is a deficient number, since it is larger than the sum of its proper divisors (1).

131249548841 is an equidigital number, since it uses as much as digits as its factorization.

131249548841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1105920, while the sum is 50.

The spelling of 131249548841 in words is "one hundred thirty-one billion, two hundred forty-nine million, five hundred forty-eight thousand, eight hundred forty-one".