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122381953 is a prime number
BaseRepresentation
bin1110100101101…
…10011010000001
322112021122110221
413102312122001
5222312210303
620051023041
73014141461
oct722663201
9275248427
10122381953
1163099411
1234b9aa81
131c47c175
1412379ba1
15ab264bd
hex74b6681

122381953 has 2 divisors, whose sum is σ = 122381954. Its totient is φ = 122381952.

The previous prime is 122381933. The next prime is 122381957. The reversal of 122381953 is 359183221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122036209 + 345744 = 11047^2 + 588^2 .

It is an emirp because it is prime and its reverse (359183221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122381953 - 213 = 122373761 is a prime.

It is not a weakly prime, because it can be changed into another prime (122381957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61190976 + 61190977.

It is an arithmetic number, because the mean of its divisors is an integer number (61190977).

Almost surely, 2122381953 is an apocalyptic number.

It is an amenable number.

122381953 is a deficient number, since it is larger than the sum of its proper divisors (1).

122381953 is an equidigital number, since it uses as much as digits as its factorization.

122381953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 34.

The square root of 122381953 is about 11062.6377053576. The cubic root of 122381953 is about 496.4846126948.

The spelling of 122381953 in words is "one hundred twenty-two million, three hundred eighty-one thousand, nine hundred fifty-three".