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205132191 = 31121312917
BaseRepresentation
bin11000011101000…
…01000110011111
3112021222210110120
430032201012133
5410003212231
632204410023
75040411015
oct1416410637
9467883416
10205132191
11a5878940
1258846913
13336632c4
141d35a8b5
151301ed96
hexc3a119f

205132191 has 16 divisors (see below), whose sum is σ = 298616448. Its totient is φ = 124221600.

The previous prime is 205132159. The next prime is 205132201. The reversal of 205132191 is 191231502.

205132191 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 205132191 - 25 = 205132159 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205132391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68865 + ... + 71781.

It is an arithmetic number, because the mean of its divisors is an integer number (18663528).

Almost surely, 2205132191 is an apocalyptic number.

205132191 is a deficient number, since it is larger than the sum of its proper divisors (93484257).

205132191 is a wasteful number, since it uses less digits than its factorization.

205132191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 205132191 is about 14322.4366292890. The cubic root of 205132191 is about 589.7635660906.

Adding to 205132191 its reverse (191231502), we get a palindrome (396363693).

The spelling of 205132191 in words is "two hundred five million, one hundred thirty-two thousand, one hundred ninety-one".

Divisors: 1 3 11 33 2131 2917 6393 8751 23441 32087 70323 96261 6216127 18648381 68377397 205132191