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313131221941 is a prime number
BaseRepresentation
bin1001000111010000001…
…00110100001110110101
31002221020122122012212111
410203220010310032311
520112243043100231
6355503412451021
731423453320256
oct4435004641665
91087218565774
10313131221941
1111088645873a
125082b019a71
13236b3456315
14112270a8b2d
15822a3d14b1
hex48e81343b5

313131221941 has 2 divisors, whose sum is σ = 313131221942. Its totient is φ = 313131221940.

The previous prime is 313131221927. The next prime is 313131222007. The reversal of 313131221941 is 149122131313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296503119441 + 16628102500 = 544521^2 + 128950^2 .

It is a cyclic number.

It is not a de Polignac number, because 313131221941 - 217 = 313131090869 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313131221441) 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, 156565610970 + 156565610971.

It is an arithmetic number, because the mean of its divisors is an integer number (156565610971).

Almost surely, 2313131221941 is an apocalyptic number.

It is an amenable number.

313131221941 is a deficient number, since it is larger than the sum of its proper divisors (1).

313131221941 is an equidigital number, since it uses as much as digits as its factorization.

313131221941 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 31.

The spelling of 313131221941 in words is "three hundred thirteen billion, one hundred thirty-one million, two hundred twenty-one thousand, nine hundred forty-one".