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131201444704049 is a prime number
BaseRepresentation
bin11101110101001110110111…
…100000010110111100110001
3122012112201212021011222010122
4131311032313200112330301
5114144101024321012144
61143013040035340025
736430664052166616
oct3565166740267461
9565481767158118
10131201444704049
1138894247136905
121286b876451615
135829321271355
14245828051450d
151027cb60097ee
hex7753b7816f31

131201444704049 has 2 divisors, whose sum is σ = 131201444704050. Its totient is φ = 131201444704048.

The previous prime is 131201444704013. The next prime is 131201444704097. The reversal of 131201444704049 is 940407444102131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125922511110400 + 5278933593649 = 11221520^2 + 2297593^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131201444704049 is a prime.

It is not a weakly prime, because it can be changed into another prime (131201444707049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65600722352024 + 65600722352025.

It is an arithmetic number, because the mean of its divisors is an integer number (65600722352025).

Almost surely, 2131201444704049 is an apocalyptic number.

It is an amenable number.

131201444704049 is a deficient number, since it is larger than the sum of its proper divisors (1).

131201444704049 is an equidigital number, since it uses as much as digits as its factorization.

131201444704049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 131201444704049 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred forty-four million, seven hundred four thousand, forty-nine".