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12167836117 is a prime number
BaseRepresentation
bin10110101010100001…
…00111000111010101
31011101222221010012221
423111100213013111
5144404431223432
65331222542341
7610346620603
oct132520470725
934358833187
1012167836117
115184476408
122436b979b1
1311bbb69c38
1483602a873
154b3374b97
hex2d54271d5

12167836117 has 2 divisors, whose sum is σ = 12167836118. Its totient is φ = 12167836116.

The previous prime is 12167836111. The next prime is 12167836123. The reversal of 12167836117 is 71163876121.

12167836117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (12167836111) and next prime (12167836123).

It can be written as a sum of positive squares in only one way, i.e., 11917215556 + 250620561 = 109166^2 + 15831^2 .

It is a cyclic number.

It is not a de Polignac number, because 12167836117 - 211 = 12167834069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12167836111) 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, 6083918058 + 6083918059.

It is an arithmetic number, because the mean of its divisors is an integer number (6083918059).

Almost surely, 212167836117 is an apocalyptic number.

It is an amenable number.

12167836117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12167836117 is an equidigital number, since it uses as much as digits as its factorization.

12167836117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84672, while the sum is 43.

The spelling of 12167836117 in words is "twelve billion, one hundred sixty-seven million, eight hundred thirty-six thousand, one hundred seventeen".