Search a number
-
+
205524112431 = 31119217252087
BaseRepresentation
bin1011111101101000110…
…0010001010000101111
3201122111022212200011010
42333122030101100233
511331403133044211
6234225543000303
720564036063031
oct2773214212057
9648438780133
10205524112431
117a187004680
12339b9739093
13164c4926061
149d39a13c51
15552d4084a6
hex2fda31142f

205524112431 has 24 divisors (see below), whose sum is σ = 315506185344. Its totient is φ = 118004268240.

The previous prime is 205524112363. The next prime is 205524112459. The reversal of 205524112431 is 134211425502.

It is not a de Polignac number, because 205524112431 - 210 = 205524111407 is a prime.

It is a super-2 number, since 2×2055241124312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205524112481) 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, 8614131 + ... + 8637956.

It is an arithmetic number, because the mean of its divisors is an integer number (13146091056).

Almost surely, 2205524112431 is an apocalyptic number.

205524112431 is a deficient number, since it is larger than the sum of its proper divisors (109982072913).

205524112431 is a wasteful number, since it uses less digits than its factorization.

205524112431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17252139 (or 17252120 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 205524112431 its reverse (134211425502), we get a palindrome (339735537933).

The spelling of 205524112431 in words is "two hundred five billion, five hundred twenty-four million, one hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 11 19 33 57 209 361 627 1083 3971 11913 17252087 51756261 189772957 327789653 569318871 983368959 3605686183 6228003407 10817058549 18684010221 68508037477 205524112431