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122057253 = 3359193397
BaseRepresentation
bin1110100011001…
…11001000100101
322111200011002000
413101213020211
5222221313003
620040035513
73011320023
oct721471045
9274604060
10122057253
116299746a
1234a62b99
131c397436
14122d3713
15aab01a3
hex7467225

122057253 has 32 divisors (see below), whose sum is σ = 185308800. Its totient is φ = 79377408.

The previous prime is 122057239. The next prime is 122057269. The reversal of 122057253 is 352750221.

It is not a de Polignac number, because 122057253 - 26 = 122057189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122057233) 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 in 31 ways as a sum of consecutive naturals, for example, 307251 + ... + 307647.

It is an arithmetic number, because the mean of its divisors is an integer number (5790900).

Almost surely, 2122057253 is an apocalyptic number.

It is an amenable number.

122057253 is a deficient number, since it is larger than the sum of its proper divisors (63251547).

122057253 is a wasteful number, since it uses less digits than its factorization.

122057253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 122057253 is about 11047.9524347274. The cubic root of 122057253 is about 496.0451379425.

The spelling of 122057253 in words is "one hundred twenty-two million, fifty-seven thousand, two hundred fifty-three".

Divisors: 1 3 9 27 59 177 193 397 531 579 1191 1593 1737 3573 5211 10719 11387 23423 34161 70269 76621 102483 210807 229863 307449 632421 689589 2068767 4520639 13561917 40685751 122057253