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122112293 is a prime number
BaseRepresentation
bin1110100011101…
…00100100100101
322111202221120112
413101310210211
5222230043133
620041142405
73011636342
oct721644445
9274687515
10122112293
1162a24856
1234a8aa05
131c3b64c4
14123097c9
15aac1648
hex7474925

122112293 has 2 divisors, whose sum is σ = 122112294. Its totient is φ = 122112292.

The previous prime is 122112239. The next prime is 122112307. The reversal of 122112293 is 392211221.

It is a happy number.

Together with previous prime (122112239) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101163364 + 20948929 = 10058^2 + 4577^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112293 - 26 = 122112229 is a prime.

It is a super-2 number, since 2×1221122932 = 29822824203435698, which contains 22 as substring.

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 (122117293) 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, 61056146 + 61056147.

It is an arithmetic number, because the mean of its divisors is an integer number (61056147).

Almost surely, 2122112293 is an apocalyptic number.

It is an amenable number.

122112293 is a deficient number, since it is larger than the sum of its proper divisors (1).

122112293 is an equidigital number, since it uses as much as digits as its factorization.

122112293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 23.

The square root of 122112293 is about 11050.4431132874. The cubic root of 122112293 is about 496.1196882618.

The spelling of 122112293 in words is "one hundred twenty-two million, one hundred twelve thousand, two hundred ninety-three".