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204140013 = 37111794937
BaseRepresentation
bin11000010101011…
…10110111101101
3112020010101110020
430022232313231
5404224440023
632131232353
75026106250
oct1412566755
9466111406
10204140013
11a5260460
12584486b9
13333a680c
141d17d097
1512dc5de3
hexc2aeded

204140013 has 32 divisors (see below), whose sum is σ = 341314560. Its totient is φ = 105432960.

The previous prime is 204140011. The next prime is 204140017. The reversal of 204140013 is 310041402.

It is not a de Polignac number, because 204140013 - 21 = 204140011 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 204139974 and 204140001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204140011) 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 31 ways as a sum of consecutive naturals, for example, 38881 + ... + 43817.

It is an arithmetic number, because the mean of its divisors is an integer number (10666080).

Almost surely, 2204140013 is an apocalyptic number.

It is an amenable number.

204140013 is a deficient number, since it is larger than the sum of its proper divisors (137174547).

204140013 is a wasteful number, since it uses less digits than its factorization.

204140013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 204140013 is about 14287.7574517487. The cubic root of 204140013 is about 588.8111779594.

Adding to 204140013 its reverse (310041402), we get a palindrome (514181415).

The spelling of 204140013 in words is "two hundred four million, one hundred forty thousand, thirteen".

Divisors: 1 3 7 11 21 33 77 179 231 537 1253 1969 3759 4937 5907 13783 14811 34559 41349 54307 103677 162921 380149 883723 1140447 2651169 6186061 9720953 18558183 29162859 68046671 204140013