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205813135 = 51121720011
BaseRepresentation
bin11000100010001…
…11010110001111
3112100021101112201
430101013112033
5410142010020
632231142331
75046245203
oct1421072617
9470241481
10205813135
11a61a3500
1258b149a7
1333841228
141d496b03
1513106a0a
hexc44758f

205813135 has 24 divisors (see below), whose sum is σ = 287452368. Its totient is φ = 140870400.

The previous prime is 205813133. The next prime is 205813159. The reversal of 205813135 is 531318502.

205813135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205813135 - 21 = 205813133 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 (205813133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280 + ... + 20290.

It is an arithmetic number, because the mean of its divisors is an integer number (11977182).

Almost surely, 2205813135 is an apocalyptic number.

205813135 is a deficient number, since it is larger than the sum of its proper divisors (81639233).

205813135 is a wasteful number, since it uses less digits than its factorization.

205813135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20055 (or 20044 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 205813135 is about 14346.1888667339. The cubic root of 205813135 is about 590.4154260881.

It can be divided in two parts, 20581 and 3135, that added together give a square (23716 = 1542).

The spelling of 205813135 in words is "two hundred five million, eight hundred thirteen thousand, one hundred thirty-five".

Divisors: 1 5 11 17 55 85 121 187 605 935 2057 10285 20011 100055 220121 340187 1100605 1700935 2421331 3742057 12106655 18710285 41162627 205813135