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204244131 = 37131913917
BaseRepresentation
bin11000010110010…
…00010010100011
3112020022200021110
430023020102203
5404241303011
632133354403
75030021640
oct1413102243
9466280243
10204244131
11a5321703
1258498a03
1333412020
141d1a8dc7
1512de6ba6
hexc2c84a3

204244131 has 32 divisors (see below), whose sum is σ = 337010688. Its totient is φ = 107141760.

The previous prime is 204244127. The next prime is 204244133. The reversal of 204244131 is 131442402.

It is not a de Polignac number, because 204244131 - 22 = 204244127 is a prime.

It is a super-2 number, since 2×2042441312 = 83431330095890322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 204244098 and 204244107.

It is not an unprimeable number, because it can be changed into a prime (204244133) 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 31 ways as a sum of consecutive naturals, for example, 50185 + ... + 54101.

It is an arithmetic number, because the mean of its divisors is an integer number (10531584).

Almost surely, 2204244131 is an apocalyptic number.

204244131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

204244131 is a deficient number, since it is larger than the sum of its proper divisors (132766557).

204244131 is a wasteful number, since it uses less digits than its factorization.

204244131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 204244131 is about 14291.4005961627. The cubic root of 204244131 is about 588.9112651848.

Adding to 204244131 its reverse (131442402), we get a palindrome (335686533).

The spelling of 204244131 in words is "two hundred four million, two hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 191 273 573 1337 2483 3917 4011 7449 11751 17381 27419 50921 52143 82257 152763 356447 748147 1069341 2244441 5237029 9725911 15711087 29177733 68081377 204244131