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13040100329 is a prime number
BaseRepresentation
bin11000010010100000…
…00010001111101001
31020122210020201202212
430021100002033221
5203201231202304
65553542334505
7641101011134
oct141120021751
936583221685
1013040100329
115591884423
12263b12a435
1312ca7a20c9
148b9c0721b
15514c2366e
hex3094023e9

13040100329 has 2 divisors, whose sum is σ = 13040100330. Its totient is φ = 13040100328.

The previous prime is 13040100289. The next prime is 13040100343. The reversal of 13040100329 is 92300104031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12661875625 + 378224704 = 112525^2 + 19448^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13040100329 is a prime.

It is not a weakly prime, because it can be changed into another prime (13240100329) 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, 6520050164 + 6520050165.

It is an arithmetic number, because the mean of its divisors is an integer number (6520050165).

Almost surely, 213040100329 is an apocalyptic number.

It is an amenable number.

13040100329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13040100329 is an equidigital number, since it uses as much as digits as its factorization.

13040100329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 13040100329 in words is "thirteen billion, forty million, one hundred thousand, three hundred twenty-nine".