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122054933 = 72111317419
BaseRepresentation
bin1110100011001…
…10100100010101
322111200000220002
413101212210111
5222221224213
620040021045
73011310200
oct721464425
9274600802
10122054933
1162995750
1234a61785
131c396370
14122d2937
15aaae658
hex7466915

122054933 has 24 divisors (see below), whose sum is σ = 166813920. Its totient is φ = 87786720.

The previous prime is 122054899. The next prime is 122054957. The reversal of 122054933 is 339450221.

It is not a de Polignac number, because 122054933 - 28 = 122054677 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122054896 and 122054905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122054963) 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, 1703 + ... + 15716.

It is an arithmetic number, because the mean of its divisors is an integer number (6950580).

Almost surely, 2122054933 is an apocalyptic number.

122054933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122054933 is a deficient number, since it is larger than the sum of its proper divisors (44758987).

122054933 is a wasteful number, since it uses less digits than its factorization.

122054933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17457 (or 17450 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 122054933 is about 11047.8474373970. The cubic root of 122054933 is about 496.0419950677.

The spelling of 122054933 in words is "one hundred twenty-two million, fifty-four thousand, nine hundred thirty-three".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 17419 121933 191609 226447 853531 1341263 1585129 2490917 9388841 11095903 17436419 122054933