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123010013029 is a prime number
BaseRepresentation
bin111001010001111110…
…1111101011101100101
3102202111210001010010111
41302203331331131211
54003411030404104
6132302055253021
711613205600411
oct1624375753545
9382453033114
10123010013029
1148193a444a2
121ba0b97a171
13b7a4996377
145d4cdd7d41
1532ee376404
hex1ca3f7d765

123010013029 has 2 divisors, whose sum is σ = 123010013030. Its totient is φ = 123010013028.

The previous prime is 123010012997. The next prime is 123010013069. The reversal of 123010013029 is 920310010321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122993997025 + 16016004 = 350705^2 + 4002^2 .

It is a cyclic number.

It is not a de Polignac number, because 123010013029 - 25 = 123010012997 is a prime.

It is a super-3 number, since 3×1230100130293 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123010013069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61505006514 + 61505006515.

It is an arithmetic number, because the mean of its divisors is an integer number (61505006515).

Almost surely, 2123010013029 is an apocalyptic number.

It is an amenable number.

123010013029 is a deficient number, since it is larger than the sum of its proper divisors (1).

123010013029 is an equidigital number, since it uses as much as digits as its factorization.

123010013029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 123010013029 in words is "one hundred twenty-three billion, ten million, thirteen thousand, twenty-nine".