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10247215313 is a prime number
BaseRepresentation
bin10011000101100100…
…00001100011010001
3222110010221110210002
421202302001203101
5131441241342223
64412453215345
7511635615206
oct114262014321
928403843702
1010247215313
114389316595
121b9b931555
13c73c9651a
146d2d15cad
153ee941e28
hex262c818d1

10247215313 has 2 divisors, whose sum is σ = 10247215314. Its totient is φ = 10247215312.

The previous prime is 10247215217. The next prime is 10247215333. The reversal of 10247215313 is 31351274201.

10247215313 is digitally balanced in base 3, 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., 8531847424 + 1715367889 = 92368^2 + 41417^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10247215313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10247215333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5123607656 + 5123607657.

It is an arithmetic number, because the mean of its divisors is an integer number (5123607657).

Almost surely, 210247215313 is an apocalyptic number.

It is an amenable number.

10247215313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10247215313 is an equidigital number, since it uses as much as digits as its factorization.

10247215313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

Adding to 10247215313 its reverse (31351274201), we get a palindrome (41598489514).

The spelling of 10247215313 in words is "ten billion, two hundred forty-seven million, two hundred fifteen thousand, three hundred thirteen".