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205331230221 = 31329181548391
BaseRepresentation
bin1011111100111010110…
…0011110111000001101
3201121222212221020111120
42333032230132320031
511331004243331341
6234154452511153
720556204442155
oct2771654367015
9647885836446
10205331230221
117a098143397
123396501b4b9
1316493991780
149d1c165765
15551b508066
hex2fceb1ee0d

205331230221 has 16 divisors (see below), whose sum is σ = 305001298560. Its totient is φ = 122000518080.

The previous prime is 205331230127. The next prime is 205331230253. The reversal of 205331230221 is 122032133502.

It is a happy number.

It is not a de Polignac number, because 205331230221 - 223 = 205322841613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205331230191 and 205331230200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205331230261) 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 15 ways as a sum of consecutive naturals, for example, 90773065 + ... + 90775326.

It is an arithmetic number, because the mean of its divisors is an integer number (19062581160).

Almost surely, 2205331230221 is an apocalyptic number.

It is an amenable number.

205331230221 is a deficient number, since it is larger than the sum of its proper divisors (99670068339).

205331230221 is a wasteful number, since it uses less digits than its factorization.

205331230221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181548436.

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 205331230221 its reverse (122032133502), we get a palindrome (327363363723).

The spelling of 205331230221 in words is "two hundred five billion, three hundred thirty-one million, two hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 13 29 39 87 377 1131 181548391 544645173 2360129083 5264903339 7080387249 15794710017 68443743407 205331230221