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34313323454129 is a prime number
BaseRepresentation
bin1111100110101001100010…
…11101001001111010110001
311111111022200111202002021102
413303110301131021322301
513444142141301013004
6200551153450134145
710141025066665406
oct763246135117261
9144438614662242
1034313323454129
11aa2a2205a8235
123a2219a721355
13161b96a458745
14868ab91142ad
153e787ce8811e
hex1f3531749eb1

34313323454129 has 2 divisors, whose sum is σ = 34313323454130. Its totient is φ = 34313323454128.

The previous prime is 34313323454093. The next prime is 34313323454149. The reversal of 34313323454129 is 92145432331343.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19631988640000 + 14681334814129 = 4430800^2 + 3831623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34313323454129 is a prime.

It is not a weakly prime, because it can be changed into another prime (34313323454149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17156661727064 + 17156661727065.

It is an arithmetic number, because the mean of its divisors is an integer number (17156661727065).

Almost surely, 234313323454129 is an apocalyptic number.

It is an amenable number.

34313323454129 is a deficient number, since it is larger than the sum of its proper divisors (1).

34313323454129 is an equidigital number, since it uses as much as digits as its factorization.

34313323454129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2799360, while the sum is 47.

The spelling of 34313323454129 in words is "thirty-four trillion, three hundred thirteen billion, three hundred twenty-three million, four hundred fifty-four thousand, one hundred twenty-nine".