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123133413629 is a prime number
BaseRepresentation
bin111001010101101010…
…0101100100011111101
3102202211101020111221002
41302223110230203331
54004134123214004
6132322224220045
711616234514052
oct1625324544375
9382741214832
10123133413629
1148247669166
121ba4516a625
13b7c4411085
145d6155b029
15330a0ee61e
hex1cab52c8fd

123133413629 has 2 divisors, whose sum is σ = 123133413630. Its totient is φ = 123133413628.

The previous prime is 123133413577. The next prime is 123133413653. The reversal of 123133413629 is 926314331321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115873521604 + 7259892025 = 340402^2 + 85205^2 .

It is a cyclic number.

It is not a de Polignac number, because 123133413629 - 212 = 123133409533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123133413592 and 123133413601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123133412629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61566706814 + 61566706815.

It is an arithmetic number, because the mean of its divisors is an integer number (61566706815).

Almost surely, 2123133413629 is an apocalyptic number.

It is an amenable number.

123133413629 is a deficient number, since it is larger than the sum of its proper divisors (1).

123133413629 is an equidigital number, since it uses as much as digits as its factorization.

123133413629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69984, while the sum is 38.

The spelling of 123133413629 in words is "one hundred twenty-three billion, one hundred thirty-three million, four hundred thirteen thousand, six hundred twenty-nine".