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123329981729 is a prime number
BaseRepresentation
bin111001011011100001…
…0100010110100100001
3102210100002010012200002
41302313002202310201
54010034433403404
6132353525305345
711624142355643
oct1626702426441
9383302105602
10123329981729
1148338617739
121ba9ab65255
13b826066266
145d7d6c8893
15331c4cbc1e
hex1cb70a2d21

123329981729 has 2 divisors, whose sum is σ = 123329981730. Its totient is φ = 123329981728.

The previous prime is 123329981693. The next prime is 123329981743. The reversal of 123329981729 is 927189923321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 119301160000 + 4028821729 = 345400^2 + 63473^2 .

It is a cyclic number.

It is not a de Polignac number, because 123329981729 - 228 = 123061546273 is a prime.

It is not a weakly prime, because it can be changed into another prime (123329981329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61664990864 + 61664990865.

It is an arithmetic number, because the mean of its divisors is an integer number (61664990865).

Almost surely, 2123329981729 is an apocalyptic number.

It is an amenable number.

123329981729 is a deficient number, since it is larger than the sum of its proper divisors (1).

123329981729 is an equidigital number, since it uses as much as digits as its factorization.

123329981729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2939328, while the sum is 56.

The spelling of 123329981729 in words is "one hundred twenty-three billion, three hundred twenty-nine million, nine hundred eighty-one thousand, seven hundred twenty-nine".