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122414429 is a prime number
BaseRepresentation
bin1110100101111…
…10010101011101
322112100022000202
413102332111131
5222314230204
620051433245
73014335244
oct722762535
9275308022
10122414429
1163110855
1234bb5825
131c490b97
141238795b
15ab30e1e
hex74be55d

122414429 has 2 divisors, whose sum is σ = 122414430. Its totient is φ = 122414428.

The previous prime is 122414419. The next prime is 122414431. The reversal of 122414429 is 924414221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121771225 + 643204 = 11035^2 + 802^2 .

It is a cyclic number.

It is not a de Polignac number, because 122414429 - 216 = 122348893 is a prime.

Together with 122414431, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122414419) 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, 61207214 + 61207215.

It is an arithmetic number, because the mean of its divisors is an integer number (61207215).

Almost surely, 2122414429 is an apocalyptic number.

It is an amenable number.

122414429 is a deficient number, since it is larger than the sum of its proper divisors (1).

122414429 is an equidigital number, since it uses as much as digits as its factorization.

122414429 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 29.

The square root of 122414429 is about 11064.1054315295. The cubic root of 122414429 is about 496.5285255100.

The spelling of 122414429 in words is "one hundred twenty-two million, four hundred fourteen thousand, four hundred twenty-nine".