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12100111129 is a prime number
BaseRepresentation
bin10110100010011100…
…10000101100011001
31011020021111100000001
423101032100230121
5144240112024004
65320403213001
7605565150631
oct132116205431
934207440001
1012100111129
11514a219647
122418377161
1311aab16a92
1482b03b6c1
154ac4481a4
hex2d1390b19

12100111129 has 2 divisors, whose sum is σ = 12100111130. Its totient is φ = 12100111128.

The previous prime is 12100111057. The next prime is 12100111139. The reversal of 12100111129 is 92111100121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10850347225 + 1249763904 = 104165^2 + 35352^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12100111129 is a prime.

It is not a weakly prime, because it can be changed into another prime (12100111139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050055564 + 6050055565.

It is an arithmetic number, because the mean of its divisors is an integer number (6050055565).

Almost surely, 212100111129 is an apocalyptic number.

It is an amenable number.

12100111129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100111129 is an equidigital number, since it uses as much as digits as its factorization.

12100111129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 12100111129 in words is "twelve billion, one hundred million, one hundred eleven thousand, one hundred twenty-nine".