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123123000029 is a prime number
BaseRepresentation
bin111001010101010110…
…0111110001011011101
3102202210122122110011012
41302222230332023131
54004123442000104
6132321213105005
711616050142521
oct1625254761335
9382718573135
10123123000029
11482417a6287
121ba41788165
13b7c2206193
145d60009d81
153309243d6e
hex1caab3e2dd

123123000029 has 2 divisors, whose sum is σ = 123123000030. Its totient is φ = 123123000028.

The previous prime is 123123000019. The next prime is 123123000059. The reversal of 123123000029 is 920000321321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114803735929 + 8319264100 = 338827^2 + 91210^2 .

It is an emirp because it is prime and its reverse (920000321321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123123000029 - 232 = 118828032733 is a prime.

It is a super-2 number, since 2×1231230000292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123122999968 and 123123000013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123123000019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61561500014 + 61561500015.

It is an arithmetic number, because the mean of its divisors is an integer number (61561500015).

Almost surely, 2123123000029 is an apocalyptic number.

It is an amenable number.

123123000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

123123000029 is an equidigital number, since it uses as much as digits as its factorization.

123123000029 is an evil number, because the sum of its binary digits is even.

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

The spelling of 123123000029 in words is "one hundred twenty-three billion, one hundred twenty-three million, twenty-nine", and thus it is an aban number.