Search a number
-
+
205050000114 = 23233773337301
BaseRepresentation
bin1011111011110111101…
…1101011001011110010
3201121021021202021022200
42332331323223023302
511324420300000424
6234110525044030
720546221146261
oct2767573531362
9647237667280
10205050000114
1179a6341a013
12338a69b6616
131644a63621b
149cd2a7a5d8
1555019a58c9
hex2fbdeeb2f2

205050000114 has 24 divisors (see below), whose sum is σ = 444289472172. Its totient is φ = 68347773600.

The previous prime is 205050000109. The next prime is 205050000139. The reversal of 205050000114 is 411000050502.

205050000114 is a `hidden beast` number, since 2 + 0 + 50 + 500 + 0 + 0 + 114 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 204695619489 + 354380625 = 452433^2 + 18825^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439264 + ... + 776564.

Almost surely, 2205050000114 is an apocalyptic number.

205050000114 is an abundant number, since it is smaller than the sum of its proper divisors (239239472058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205050000114 is a wasteful number, since it uses less digits than its factorization.

205050000114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371082 (or 371079 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 205050000114 its reverse (411000050502), we get a palindrome (616050050616).

The spelling of 205050000114 in words is "two hundred five billion, fifty million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 33773 67546 101319 202638 303957 337301 607914 674602 1011903 2023806 3035709 6071418 11391666673 22783333346 34175000019 68350000038 102525000057 205050000114