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133606133 = 7310118121
BaseRepresentation
bin1111111011010…
…10101011110101
3100022101220011022
413331222223311
5233200344013
621131350525
73211430153
oct775525365
9308356138
10133606133
11694652a1
12388b2445
13218abcab
1413a5c3d3
15bae2008
hex7f6aaf5

133606133 has 8 divisors (see below), whose sum is σ = 136784856. Its totient is φ = 130464000.

The previous prime is 133606129. The next prime is 133606153. The reversal of 133606133 is 331606331.

It can be written as a sum of positive squares in 4 ways, for example, as 47914084 + 85692049 = 6922^2 + 9257^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 133606133 - 22 = 133606129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133606153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1688 + ... + 16433.

It is an arithmetic number, because the mean of its divisors is an integer number (17098107).

Almost surely, 2133606133 is an apocalyptic number.

It is an amenable number.

133606133 is a deficient number, since it is larger than the sum of its proper divisors (3178723).

133606133 is a wasteful number, since it uses less digits than its factorization.

133606133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18295.

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 133606133 is about 11558.8119199163. The cubic root of 133606133 is about 511.2211325096.

The spelling of 133606133 in words is "one hundred thirty-three million, six hundred six thousand, one hundred thirty-three".

Divisors: 1 73 101 7373 18121 1322833 1830221 133606133