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123121232029 is a prime number
BaseRepresentation
bin111001010101010011…
…0001110100010011101
3102202210112022121220201
41302222212032202131
54004123013411104
6132321111143501
711616026130145
oct1625246164235
9382715277821
10123121232029
11482407a8a24
121ba41074b91
13b7c1a37523
145d5daa9925
153308ee50a4
hex1caa98e89d

123121232029 has 2 divisors, whose sum is σ = 123121232030. Its totient is φ = 123121232028.

The previous prime is 123121232009. The next prime is 123121232053. The reversal of 123121232029 is 920232121321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117048147129 + 6073084900 = 342123^2 + 77930^2 .

It is a cyclic number.

It is not a de Polignac number, because 123121232029 - 217 = 123121100957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123121231988 and 123121232006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123121232009) 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, 61560616014 + 61560616015.

It is an arithmetic number, because the mean of its divisors is an integer number (61560616015).

Almost surely, 2123121232029 is an apocalyptic number.

It is an amenable number.

123121232029 is a deficient number, since it is larger than the sum of its proper divisors (1).

123121232029 is an equidigital number, since it uses as much as digits as its factorization.

123121232029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 123121232029 in words is "one hundred twenty-three billion, one hundred twenty-one million, two hundred thirty-two thousand, twenty-nine".