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122707933 is a prime number
BaseRepresentation
bin1110101000001…
…01111111011101
322112220012122021
413110011333131
5222403123213
620102020141
73020000035
oct724057735
9275805567
10122707933
11632a1317
1235117651
131c56465a
14124228c5
15ab8cd8d
hex7505fdd

122707933 has 2 divisors, whose sum is σ = 122707934. Its totient is φ = 122707932.

The previous prime is 122707913. The next prime is 122707969. The reversal of 122707933 is 339707221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121837444 + 870489 = 11038^2 + 933^2 .

It is a cyclic number.

It is not a de Polignac number, because 122707933 - 213 = 122699741 is a prime.

It is a super-3 number, since 3×1227079333 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122707913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61353966 + 61353967.

It is an arithmetic number, because the mean of its divisors is an integer number (61353967).

Almost surely, 2122707933 is an apocalyptic number.

It is an amenable number.

122707933 is a deficient number, since it is larger than the sum of its proper divisors (1).

122707933 is an equidigital number, since it uses as much as digits as its factorization.

122707933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 122707933 is about 11077.3612832660. The cubic root of 122707933 is about 496.9250386588.

The spelling of 122707933 in words is "one hundred twenty-two million, seven hundred seven thousand, nine hundred thirty-three".