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122112393 = 3133131087
BaseRepresentation
bin1110100011101…
…00100110001001
322111202221201020
413101310212021
5222230044033
620041143053
73011636544
oct721644611
9274687636
10122112393
1162a24937
1234a8aa89
131c3b6570
141230985b
15aac16b3
hex7474989

122112393 has 8 divisors (see below), whose sum is σ = 175340928. Its totient is φ = 75146064.

The previous prime is 122112349. The next prime is 122112407. The reversal of 122112393 is 393211221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122112393 - 29 = 122111881 is a prime.

It is a super-2 number, since 2×1221123932 = 29822873048372898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122112293) 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 7 ways as a sum of consecutive naturals, for example, 1565505 + ... + 1565582.

It is an arithmetic number, because the mean of its divisors is an integer number (21917616).

Almost surely, 2122112393 is an apocalyptic number.

122112393 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122112393 is a deficient number, since it is larger than the sum of its proper divisors (53228535).

122112393 is a wasteful number, since it uses less digits than its factorization.

122112393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131103.

The product of its digits is 648, while the sum is 24.

The square root of 122112393 is about 11050.4476379919. The cubic root of 122112393 is about 496.1198236890.

The spelling of 122112393 in words is "one hundred twenty-two million, one hundred twelve thousand, three hundred ninety-three".

Divisors: 1 3 13 39 3131087 9393261 40704131 122112393