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205302360231 = 32117499194141
BaseRepresentation
bin1011111100110011111…
…0010110100010100111
3201121220212121111022200
42333030332112202213
511330424401011411
6234151542025543
720555404161123
oct2771476264247
9647825544280
10205302360231
117a0829149a1
12339574182b3
131648a9c3c37
149d183ac583
155518c03e56
hex2fccf968a7

205302360231 has 12 divisors (see below), whose sum is σ = 296551905000. Its totient is φ = 136866370320.

The previous prime is 205302360203. The next prime is 205302360247. The reversal of 205302360231 is 132063203502.

205302360231 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 0 + 23 + 602 + 31 = 666.

It is not a de Polignac number, because 205302360231 - 213 = 205302352039 is a prime.

It is a super-2 number, since 2×2053023602312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205302360195 and 205302360204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205302360031) 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 11 ways as a sum of consecutive naturals, for example, 960421 + ... + 1154561.

It is an arithmetic number, because the mean of its divisors is an integer number (24712658750).

Almost surely, 2205302360231 is an apocalyptic number.

205302360231 is a deficient number, since it is larger than the sum of its proper divisors (91249544769).

205302360231 is a wasteful number, since it uses less digits than its factorization.

205302360231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311646 (or 311643 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 205302360231 its reverse (132063203502), we get a palindrome (337365563733).

The spelling of 205302360231 in words is "two hundred five billion, three hundred two million, three hundred sixty thousand, two hundred thirty-one".

Divisors: 1 3 9 117499 194141 352497 582423 1057491 1747269 22811373359 68434120077 205302360231