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122464433 = 71313110273
BaseRepresentation
bin1110100110010…
…10100010110001
322112102211121202
413103022202301
5222322330213
620052500545
73014634110
oct723124261
9275384552
10122464433
1163145383
123501a755
131c4aa880
141239bc77
15ab40b58
hex74ca8b1

122464433 has 16 divisors (see below), whose sum is σ = 151890816. Its totient is φ = 96145920.

The previous prime is 122464427. The next prime is 122464513. The reversal of 122464433 is 334464221.

It is not a de Polignac number, because 122464433 - 212 = 122460337 is a prime.

It is a super-2 number, since 2×1224644332 = 29995074700022978, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 122464396 and 122464405.

It is not an unprimeable number, because it can be changed into a prime (122464403) 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 15 ways as a sum of consecutive naturals, for example, 6785 + ... + 17057.

It is an arithmetic number, because the mean of its divisors is an integer number (9493176).

Almost surely, 2122464433 is an apocalyptic number.

122464433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122464433 is a deficient number, since it is larger than the sum of its proper divisors (29426383).

122464433 is a wasteful number, since it uses less digits than its factorization.

122464433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424.

The product of its digits is 13824, while the sum is 29.

The square root of 122464433 is about 11066.3649406659. The cubic root of 122464433 is about 496.5961238389.

The spelling of 122464433 in words is "one hundred twenty-two million, four hundred sixty-four thousand, four hundred thirty-three".

Divisors: 1 7 13 91 131 917 1703 10273 11921 71911 133549 934843 1345763 9420341 17494919 122464433