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33130133 = 373372657
BaseRepresentation
bin111111001100…
…0011010010101
32022100011222222
41332120122111
531440131013
63142032125
7551413211
oct176303225
968304888
1033130133
1117779183
12b118645
136b2c93a
144585941
152d96508
hex1f98695

33130133 has 8 divisors (see below), whose sum is σ = 34139352. Its totient is φ = 32126976.

The previous prime is 33130099. The next prime is 33130157. The reversal of 33130133 is 33103133.

It can be written as a sum of positive squares in 4 ways, for example, as 9878449 + 23251684 = 3143^2 + 4822^2 .

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 33130133 - 216 = 33064597 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33130183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11141 + ... + 13797.

It is an arithmetic number, because the mean of its divisors is an integer number (4267419).

Almost surely, 233130133 is an apocalyptic number.

It is an amenable number.

33130133 is a deficient number, since it is larger than the sum of its proper divisors (1009219).

33130133 is a wasteful number, since it uses less digits than its factorization.

33130133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031.

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 33130133 is about 5755.8781258814. The cubic root of 33130133 is about 321.1745022866.

Adding to 33130133 its reverse (33103133), we get a palindrome (66233266).

Subtracting from 33130133 its reverse (33103133), we obtain a cube (27000 = 303).

The spelling of 33130133 in words is "thirty-three million, one hundred thirty thousand, one hundred thirty-three".

Divisors: 1 37 337 2657 12469 98309 895409 33130133