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204221044332431 = 71272114612361649
BaseRepresentation
bin101110011011110011101010…
…110011011001011110001111
3222210002100012201020022000122
4232123303222303121132033
5203231424144322114211
62002201504054415155
761005324600203540
oct5633635263313617
9883070181208018
10204221044332431
115a086727548595
121aaa34a66614bb
1389c4c67241099
1438604cbcd84c7
1518923d0c766db
hexb9bceacd978f

204221044332431 has 32 divisors (see below), whose sum is σ = 236860874342400. Its totient is φ = 172470208780800.

The previous prime is 204221044332421. The next prime is 204221044332479. The reversal of 204221044332431 is 134233440122402.

It is a happy number.

It is not a de Polignac number, because 204221044332431 - 218 = 204221044070287 is a prime.

It is a super-2 number, since 2×2042210443324312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204221044332391 and 204221044332400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204221044332421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85293095 + ... + 87654743.

It is an arithmetic number, because the mean of its divisors is an integer number (7401902323200).

Almost surely, 2204221044332431 is an apocalyptic number.

204221044332431 is a deficient number, since it is larger than the sum of its proper divisors (32639830009969).

204221044332431 is a wasteful number, since it uses less digits than its factorization.

204221044332431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362455.

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 204221044332431 its reverse (134233440122402), we get a palindrome (338454484454833).

The spelling of 204221044332431 in words is "two hundred four trillion, two hundred twenty-one billion, forty-four million, three hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 7 127 211 461 889 1477 3227 26797 58547 97271 187579 409829 680897 2361649 12353417 16531543 86473919 299929423 498307939 1088720189 2099505961 3488155573 7621041323 63285108253 138267464003 229719959879 442995757771 967872248021 1608039719153 29174434904633 204221044332431