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122813329 is a prime number
BaseRepresentation
bin1110101000111…
…11101110010001
322120002120012211
413110133232101
5222420011304
620104152121
73020616232
oct724375621
9276076184
10122813329
1163363521
1235168641
131c5a0612
141244d089
15abae204
hex751fb91

122813329 has 2 divisors, whose sum is σ = 122813330. Its totient is φ = 122813328.

The previous prime is 122813297. The next prime is 122813377. The reversal of 122813329 is 923318221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90630400 + 32182929 = 9520^2 + 5673^2 .

It is a cyclic number.

It is not a de Polignac number, because 122813329 - 25 = 122813297 is a prime.

It is a super-2 number, since 2×1228133292 = 30166227560124482, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122813329.

It is not a weakly prime, because it can be changed into another prime (122813029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61406664 + 61406665.

It is an arithmetic number, because the mean of its divisors is an integer number (61406665).

Almost surely, 2122813329 is an apocalyptic number.

It is an amenable number.

122813329 is a deficient number, since it is larger than the sum of its proper divisors (1).

122813329 is an equidigital number, since it uses as much as digits as its factorization.

122813329 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5184, while the sum is 31.

The square root of 122813329 is about 11082.1175323130. The cubic root of 122813329 is about 497.0672704941.

The spelling of 122813329 in words is "one hundred twenty-two million, eight hundred thirteen thousand, three hundred twenty-nine".