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12414130129 is a prime number
BaseRepresentation
bin10111000111111000…
…01001011111010001
31012001011101011002101
423203330021133101
5200411004131004
65411501520401
7616430236132
oct134374113721
935034334071
1012414130129
1152a04a8785
1224a5573101
13122abb283b
1485aa1dc89
154c9cc5ba4
hex2e3f097d1

12414130129 has 2 divisors, whose sum is σ = 12414130130. Its totient is φ = 12414130128.

The previous prime is 12414130123. The next prime is 12414130207. The reversal of 12414130129 is 92103141421.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12022683904 + 391446225 = 109648^2 + 19785^2 .

It is a cyclic number.

It is not a de Polignac number, because 12414130129 - 25 = 12414130097 is a prime.

It is a super-2 number, since 2×124141301292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12414130097 and 12414130106.

It is not a weakly prime, because it can be changed into another prime (12414130123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6207065064 + 6207065065.

It is an arithmetic number, because the mean of its divisors is an integer number (6207065065).

Almost surely, 212414130129 is an apocalyptic number.

It is an amenable number.

12414130129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12414130129 is an equidigital number, since it uses as much as digits as its factorization.

12414130129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The spelling of 12414130129 in words is "twelve billion, four hundred fourteen million, one hundred thirty thousand, one hundred twenty-nine".