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12200735017 is a prime number
BaseRepresentation
bin10110101110011100…
…00111000100101001
31011111021211120000201
423113032013010221
5144441342010032
65334400032201
7611226352012
oct132716070451
934437746021
1012200735017
1151a0aa6889
122446002661
1311c5918543
1483a552009
154b61c28e7
hex2d7387129

12200735017 has 2 divisors, whose sum is σ = 12200735018. Its totient is φ = 12200735016.

The previous prime is 12200735009. The next prime is 12200735047. The reversal of 12200735017 is 71053700221.

12200735017 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., 11069354521 + 1131380496 = 105211^2 + 33636^2 .

It is a cyclic number.

It is not a de Polignac number, because 12200735017 - 23 = 12200735009 is a prime.

It is not a weakly prime, because it can be changed into another prime (12200735047) 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, 6100367508 + 6100367509.

It is an arithmetic number, because the mean of its divisors is an integer number (6100367509).

Almost surely, 212200735017 is an apocalyptic number.

It is an amenable number.

12200735017 is a deficient number, since it is larger than the sum of its proper divisors (1).

12200735017 is an equidigital number, since it uses as much as digits as its factorization.

12200735017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 28.

The spelling of 12200735017 in words is "twelve billion, two hundred million, seven hundred thirty-five thousand, seventeen".