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1013097713 is a prime number
BaseRepresentation
bin111100011000101…
…010010011110001
32121121022200210112
4330120222103301
54033323111323
6244310111105
734051121435
oct7430522361
92547280715
101013097713
1147a95a341
1224334b495
13131b74a04
149879a9c5
155de1c178
hex3c62a4f1

1013097713 has 2 divisors, whose sum is σ = 1013097714. Its totient is φ = 1013097712.

The previous prime is 1013097691. The next prime is 1013097797. The reversal of 1013097713 is 3177903101.

1013097713 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1012703329 + 394384 = 31823^2 + 628^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013097713 - 222 = 1008903409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1013097713.

It is not a weakly prime, because it can be changed into another prime (1013097313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506548856 + 506548857.

It is an arithmetic number, because the mean of its divisors is an integer number (506548857).

Almost surely, 21013097713 is an apocalyptic number.

It is an amenable number.

1013097713 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013097713 is an equidigital number, since it uses as much as digits as its factorization.

1013097713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3969, while the sum is 32.

The square root of 1013097713 is about 31829.1959213550. The cubic root of 1013097713 is about 1004.3469807115.

The spelling of 1013097713 in words is "one billion, thirteen million, ninety-seven thousand, seven hundred thirteen".