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133904133 = 32115032689
BaseRepresentation
bin1111111101100…
…11011100000101
3100022222000221100
413332303130011
5233234413013
621142010313
73214111026
oct776633405
9308860840
10133904133
1169649180
1238a16999
132198481c
1413ad8c4d
15bb50473
hex7fb3705

133904133 has 24 divisors (see below), whose sum is σ = 211498560. Its totient is φ = 80962560.

The previous prime is 133904117. The next prime is 133904167. The reversal of 133904133 is 331409331.

It is not a de Polignac number, because 133904133 - 24 = 133904117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133904097 and 133904106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133904033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48453 + ... + 51141.

It is an arithmetic number, because the mean of its divisors is an integer number (8812440).

Almost surely, 2133904133 is an apocalyptic number.

It is an amenable number.

133904133 is a deficient number, since it is larger than the sum of its proper divisors (77594427).

133904133 is a wasteful number, since it uses less digits than its factorization.

133904133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 133904133 is about 11571.6953381948. The cubic root of 133904133 is about 511.6009323729.

The spelling of 133904133 in words is "one hundred thirty-three million, nine hundred four thousand, one hundred thirty-three".

Divisors: 1 3 9 11 33 99 503 1509 2689 4527 5533 8067 16599 24201 29579 49797 88737 266211 1352567 4057701 12173103 14878237 44634711 133904133