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10029785713 is a prime number
BaseRepresentation
bin10010101011101001…
…00110001001110001
3221212222210220102221
421111310212021301
5131020111120323
64335125041041
7503355525523
oct112564461161
927788726387
1010029785713
114287609502
121b3ab56181
13c3ac18a5c
146b20b7a13
153da7e355d
hex255d26271

10029785713 has 2 divisors, whose sum is σ = 10029785714. Its totient is φ = 10029785712.

The previous prime is 10029785659. The next prime is 10029785723. The reversal of 10029785713 is 31758792001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8177946624 + 1851839089 = 90432^2 + 43033^2 .

It is a cyclic number.

It is not a de Polignac number, because 10029785713 - 217 = 10029654641 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10029785713.

It is not a weakly prime, because it can be changed into another prime (10029785723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5014892856 + 5014892857.

It is an arithmetic number, because the mean of its divisors is an integer number (5014892857).

Almost surely, 210029785713 is an apocalyptic number.

It is an amenable number.

10029785713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10029785713 is an equidigital number, since it uses as much as digits as its factorization.

10029785713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105840, while the sum is 43.

The spelling of 10029785713 in words is "ten billion, twenty-nine million, seven hundred eighty-five thousand, seven hundred thirteen".