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13141412129 is a prime number
BaseRepresentation
bin11000011110100101…
…00000100100100001
31020220211212220102202
430033102200210201
5203403200142004
610012002022545
7643441105616
oct141722404441
936824786382
1013141412129
115633a9148a
122669047a55
131315784a11
148c945a50d
1551da86b1e
hex30f4a0921

13141412129 has 2 divisors, whose sum is σ = 13141412130. Its totient is φ = 13141412128.

The previous prime is 13141412099. The next prime is 13141412159. The reversal of 13141412129 is 92121414131.

It is a balanced prime because it is at equal distance from previous prime (13141412099) and next prime (13141412159).

It can be written as a sum of positive squares in only one way, i.e., 12904960000 + 236452129 = 113600^2 + 15377^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13141412129 is a prime.

It is not a weakly prime, because it can be changed into another prime (13141412159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6570706064 + 6570706065.

It is an arithmetic number, because the mean of its divisors is an integer number (6570706065).

Almost surely, 213141412129 is an apocalyptic number.

It is an amenable number.

13141412129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13141412129 is an equidigital number, since it uses as much as digits as its factorization.

13141412129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 29.

The spelling of 13141412129 in words is "thirteen billion, one hundred forty-one million, four hundred twelve thousand, one hundred twenty-nine".