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12106522117 is a prime number
BaseRepresentation
bin10110100011001101…
…01101111000000101
31011020201120001020001
423101212231320011
5144243232201432
65321152441301
7606003511564
oct132146557005
934221501201
1012106522117
1151528a8288
12241a549231
1311ac24cb71
1482bc29bdb
154accb29e7
hex2d19ade05

12106522117 has 2 divisors, whose sum is σ = 12106522118. Its totient is φ = 12106522116.

The previous prime is 12106522111. The next prime is 12106522123. The reversal of 12106522117 is 71122560121.

12106522117 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 (12106522111) and next prime (12106522123).

It can be written as a sum of positive squares in only one way, i.e., 9558190756 + 2548331361 = 97766^2 + 50481^2 .

It is a cyclic number.

It is not a de Polignac number, because 12106522117 - 227 = 11972304389 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12106522111) 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, 6053261058 + 6053261059.

It is an arithmetic number, because the mean of its divisors is an integer number (6053261059).

Almost surely, 212106522117 is an apocalyptic number.

It is an amenable number.

12106522117 is a deficient number, since it is larger than the sum of its proper divisors (1).

12106522117 is an equidigital number, since it uses as much as digits as its factorization.

12106522117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 12106522117 in words is "twelve billion, one hundred six million, five hundred twenty-two thousand, one hundred seventeen".