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129257153341 is a prime number
BaseRepresentation
bin111100001100001010…
…0111010001100111101
3110100122011010201120121
41320120110322030331
54104204312401331
6135214021214541
712224053450441
oct1703024721475
9410564121517
10129257153341
114a8aa325478
1221073b61451
13c25c012cb4
14638297a821
153567a2ac11
hex1e1853a33d

129257153341 has 2 divisors, whose sum is σ = 129257153342. Its totient is φ = 129257153340.

The previous prime is 129257153309. The next prime is 129257153413. The reversal of 129257153341 is 143351752921.

Together with next prime (129257153413) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119387525625 + 9869627716 = 345525^2 + 99346^2 .

It is a cyclic number.

It is not a de Polignac number, because 129257153341 - 25 = 129257153309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (129257153041) 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, 64628576670 + 64628576671.

It is an arithmetic number, because the mean of its divisors is an integer number (64628576671).

Almost surely, 2129257153341 is an apocalyptic number.

It is an amenable number.

129257153341 is a deficient number, since it is larger than the sum of its proper divisors (1).

129257153341 is an equidigital number, since it uses as much as digits as its factorization.

129257153341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 226800, while the sum is 43.

The spelling of 129257153341 in words is "one hundred twenty-nine billion, two hundred fifty-seven million, one hundred fifty-three thousand, three hundred forty-one".