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12731439121 is a prime number
BaseRepresentation
bin10111101101101101…
…00101100000010001
31012212021110010012021
423312312211200101
5202033222022441
65503154531441
7630332306212
oct136666454021
935767403167
1012731439121
115443624715
122573896b81
13127b860c3b
1488ac1b409
154e7aa33d1
hex2f6da5811

12731439121 has 2 divisors, whose sum is σ = 12731439122. Its totient is φ = 12731439120.

The previous prime is 12731438989. The next prime is 12731439131. The reversal of 12731439121 is 12193413721.

It is a happy number.

12731439121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12673130625 + 58308496 = 112575^2 + 7636^2 .

It is a cyclic number.

It is not a de Polignac number, because 12731439121 - 29 = 12731438609 is a prime.

It is not a weakly prime, because it can be changed into another prime (12731439131) 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, 6365719560 + 6365719561.

It is an arithmetic number, because the mean of its divisors is an integer number (6365719561).

Almost surely, 212731439121 is an apocalyptic number.

It is an amenable number.

12731439121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12731439121 is an equidigital number, since it uses as much as digits as its factorization.

12731439121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 34.

The spelling of 12731439121 in words is "twelve billion, seven hundred thirty-one million, four hundred thirty-nine thousand, one hundred twenty-one".