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204133122 = 236140009
BaseRepresentation
bin11000010101011…
…01001100000010
3112020010001000000
430022231030002
5404224224442
632131140430
75026050204
oct1412551402
9466101000
10204133122
11a5256266
1258444716
13333a363b
141d17a774
1512dc3d4c
hexc2ad302

204133122 has 28 divisors (see below), whose sum is σ = 459092790. Its totient is φ = 68043888.

The previous prime is 204133099. The next prime is 204133123. The reversal of 204133122 is 221331402.

It can be written as a sum of positive squares in only one way, i.e., 172896201 + 31236921 = 13149^2 + 5589^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 204133095 and 204133104.

It is not an unprimeable number, because it can be changed into a prime (204133123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 68547 + ... + 71462.

Almost surely, 2204133122 is an apocalyptic number.

204133122 is an abundant number, since it is smaller than the sum of its proper divisors (254959668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204133122 is an equidigital number, since it uses as much as digits as its factorization.

204133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140029 (or 140014 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 204133122 is about 14287.5162992033. The cubic root of 204133122 is about 588.8045525336.

Adding to 204133122 its reverse (221331402), we get a palindrome (425464524).

The spelling of 204133122 in words is "two hundred four million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 140009 280018 420027 840054 1260081 2520162 3780243 7560486 11340729 22681458 34022187 68044374 102066561 204133122