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131045304349 is a prime number
BaseRepresentation
bin111101000001011101…
…0001010100000011101
3110112020202212012121201
41322002322022200131
54121340044214344
6140111255355501
712316265464621
oct1720272124035
9415222765551
10131045304349
1150637726823
1221492982b91
13c485614a0b
1464b224b181
15361e9e34d4
hex1e82e8a81d

131045304349 has 2 divisors, whose sum is σ = 131045304350. Its totient is φ = 131045304348.

The previous prime is 131045304329. The next prime is 131045304433. The reversal of 131045304349 is 943403540131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72810927225 + 58234377124 = 269835^2 + 241318^2 .

It is a cyclic number.

It is not a de Polignac number, because 131045304349 - 225 = 131011749917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131045304329) 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, 65522652174 + 65522652175.

It is an arithmetic number, because the mean of its divisors is an integer number (65522652175).

Almost surely, 2131045304349 is an apocalyptic number.

It is an amenable number.

131045304349 is a deficient number, since it is larger than the sum of its proper divisors (1).

131045304349 is an equidigital number, since it uses as much as digits as its factorization.

131045304349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 131045304349 in words is "one hundred thirty-one billion, forty-five million, three hundred four thousand, three hundred forty-nine".