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10747013 is a prime number
BaseRepresentation
bin101000111111…
…110010000101
3202020000010112
4220333302011
510222401023
61022202405
7160230254
oct50776205
922200115
1010747013
116080432
123723405
1322c38a4
1415da79b
15e24478
hexa3fc85

10747013 has 2 divisors, whose sum is σ = 10747014. Its totient is φ = 10747012.

The previous prime is 10747007. The next prime is 10747021. The reversal of 10747013 is 31074701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10252804 + 494209 = 3202^2 + 703^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10747013 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10747013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10746013) 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, 5373506 + 5373507.

It is an arithmetic number, because the mean of its divisors is an integer number (5373507).

Almost surely, 210747013 is an apocalyptic number.

It is an amenable number.

10747013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10747013 is an equidigital number, since it uses as much as digits as its factorization.

10747013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 10747013 is about 3278.2637172747. The cubic root of 10747013 is about 220.6798049373.

The spelling of 10747013 in words is "ten million, seven hundred forty-seven thousand, thirteen".