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122268413 is a prime number
BaseRepresentation
bin1110100100110…
…10101011111101
322112001212201202
413102122223331
5222300042123
620044345245
73013156451
oct722325375
9275055652
10122268413
1163021083
1234b45225
131c43c597
141234a661
15ab02a28
hex749aafd

122268413 has 2 divisors, whose sum is σ = 122268414. Its totient is φ = 122268412.

The previous prime is 122268397. The next prime is 122268449. The reversal of 122268413 is 314862221.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115498009 + 6770404 = 10747^2 + 2602^2 .

It is an emirp because it is prime and its reverse (314862221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122268413 - 24 = 122268397 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122268493) 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, 61134206 + 61134207.

It is an arithmetic number, because the mean of its divisors is an integer number (61134207).

Almost surely, 2122268413 is an apocalyptic number.

It is an amenable number.

122268413 is a deficient number, since it is larger than the sum of its proper divisors (1).

122268413 is an equidigital number, since it uses as much as digits as its factorization.

122268413 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 122268413 is about 11057.5048270394. The cubic root of 122268413 is about 496.3310271286.

The spelling of 122268413 in words is "one hundred twenty-two million, two hundred sixty-eight thousand, four hundred thirteen".