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12106766729 is a prime number
BaseRepresentation
bin10110100011001111…
…01001100110001001
31011020202000110202202
423101213221212021
5144243313013404
65321202005545
7606005551001
oct132147514611
934222013682
1012106766729
115152a55042
12241a6468b5
1311ac3072c5
1482bc91001
154acd1021e
hex2d19e9989

12106766729 has 2 divisors, whose sum is σ = 12106766730. Its totient is φ = 12106766728.

The previous prime is 12106766723. The next prime is 12106766741. The reversal of 12106766729 is 92766760121.

12106766729 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., 10048057600 + 2058709129 = 100240^2 + 45373^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12106766729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12106766723) 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, 6053383364 + 6053383365.

It is an arithmetic number, because the mean of its divisors is an integer number (6053383365).

Almost surely, 212106766729 is an apocalyptic number.

It is an amenable number.

12106766729 is a deficient number, since it is larger than the sum of its proper divisors (1).

12106766729 is an equidigital number, since it uses as much as digits as its factorization.

12106766729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 381024, while the sum is 47.

The spelling of 12106766729 in words is "twelve billion, one hundred six million, seven hundred sixty-six thousand, seven hundred twenty-nine".