Search a number
-
+
205452112203 = 33131035682851
BaseRepresentation
bin1011111101010111100…
…1100111000101001011
3201122022022101200102000
42333111321213011023
511331231220042303
6234214451442043
720562203065602
oct2772571470513
9648268350360
10205452112203
117a14a3a7858
12339995b6323
13164b2a36c80
149d30230a39
155526e34da3
hex2fd5e6714b

205452112203 has 32 divisors (see below), whose sum is σ = 330969300480. Its totient is φ = 125204551200.

The previous prime is 205452112183. The next prime is 205452112241. The reversal of 205452112203 is 302211254502.

205452112203 is a `hidden beast` number, since 2 + 0 + 5 + 452 + 1 + 1 + 2 + 203 = 666.

It is not a de Polignac number, because 205452112203 - 29 = 205452111691 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (205452112003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2805273 + ... + 2877578.

It is an arithmetic number, because the mean of its divisors is an integer number (10342790640).

Almost surely, 2205452112203 is an apocalyptic number.

205452112203 is a deficient number, since it is larger than the sum of its proper divisors (125517188277).

205452112203 is a wasteful number, since it uses less digits than its factorization.

205452112203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5682976 (or 5682970 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 205452112203 its reverse (302211254502), we get a palindrome (507663366705).

The spelling of 205452112203 in words is "two hundred five billion, four hundred fifty-two million, one hundred twelve thousand, two hundred three".

Divisors: 1 3 9 13 27 39 103 117 309 351 927 1339 2781 4017 12051 36153 5682851 17048553 51145659 73877063 153436977 221631189 585333653 664893567 1756000959 1994680701 5268002877 7609337489 15804008631 22828012467 68484037401 205452112203