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10232331313 is a prime number
BaseRepresentation
bin10011000011110010…
…01111110000110001
3222102002221021202211
421201321033300301
5131423434100223
64411202212121
7511365244501
oct114171176061
928362837684
1010232331313
11438097aa66
121b96954041
13c70b84919
146d0d5da01
153ed4a1d0d
hex261e4fc31

10232331313 has 2 divisors, whose sum is σ = 10232331314. Its totient is φ = 10232331312.

The previous prime is 10232331281. The next prime is 10232331341. The reversal of 10232331313 is 31313323201.

10232331313 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., 8962976929 + 1269354384 = 94673^2 + 35628^2 .

It is a cyclic number.

It is not a de Polignac number, because 10232331313 - 25 = 10232331281 is a prime.

It is not a weakly prime, because it can be changed into another prime (10232331013) 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, 5116165656 + 5116165657.

It is an arithmetic number, because the mean of its divisors is an integer number (5116165657).

Almost surely, 210232331313 is an apocalyptic number.

It is an amenable number.

10232331313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10232331313 is an equidigital number, since it uses as much as digits as its factorization.

10232331313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10232331313 its reverse (31313323201), we get a palindrome (41545654514).

The spelling of 10232331313 in words is "ten billion, two hundred thirty-two million, three hundred thirty-one thousand, three hundred thirteen".