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122331321 = 3275213727
BaseRepresentation
bin1110100101010…
…10000010111001
322112012002000200
413102222002321
5222304100241
620045552413
73013541040
oct722520271
9275162020
10122331321
1163064372
1234b75709
131c4620c8
1412365557
15ab164b6
hex74aa0b9

122331321 has 24 divisors (see below), whose sum is σ = 202385664. Its totient is φ = 69750720.

The previous prime is 122331299. The next prime is 122331323. The reversal of 122331321 is 123133221.

122331321 is a `hidden beast` number, since 12 + 2 + 331 + 321 = 666.

It is not a de Polignac number, because 122331321 - 213 = 122323129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122331294 and 122331303.

It is not an unprimeable number, because it can be changed into a prime (122331323) 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 23 ways as a sum of consecutive naturals, for example, 30960 + ... + 34686.

It is an arithmetic number, because the mean of its divisors is an integer number (8432736).

Almost surely, 2122331321 is an apocalyptic number.

It is an amenable number.

122331321 is a deficient number, since it is larger than the sum of its proper divisors (80054343).

122331321 is a wasteful number, since it uses less digits than its factorization.

122331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4258 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 122331321 is about 11060.3490451251. The cubic root of 122331321 is about 496.4161345252.

Adding to 122331321 its reverse (123133221), we get a palindrome (245464542).

The spelling of 122331321 in words is "one hundred twenty-two million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 63 521 1563 3647 3727 4689 10941 11181 26089 32823 33543 78267 234801 1941767 5825301 13592369 17475903 40777107 122331321