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204043424113333 = 72417611097121661
BaseRepresentation
bin101110011001001110001111…
…110100000010001010110101
3222202110100202001110021110101
4232121032033310002022311
5203221021413033111313
62001544131024554101
760656436156226300
oct5631161764021265
9882410661407411
10204043424113333
115a01836a568a92
121aa74b95a82931
1389b129b65641c
143855a7c1b7b37
15188c98744d5dd
hexb9938fd022b5

204043424113333 has 48 divisors (see below), whose sum is σ = 243689271175728. Its totient is φ = 170247694848000.

The previous prime is 204043424113267. The next prime is 204043424113357. The reversal of 204043424113333 is 333311424340402.

204043424113333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 82417310246404 + 121626113866929 = 9078398^2 + 11028423^2 .

It is not a de Polignac number, because 204043424113333 - 217 = 204043423982261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 204043424113292 and 204043424113301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204043434113333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1677086523 + ... + 1677208183.

It is an arithmetic number, because the mean of its divisors is an integer number (5076859816161).

Almost surely, 2204043424113333 is an apocalyptic number.

It is an amenable number.

204043424113333 is a deficient number, since it is larger than the sum of its proper divisors (39645847062395).

204043424113333 is a wasteful number, since it uses less digits than its factorization.

204043424113333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123574 (or 123567 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 204043424113333 its reverse (333311424340402), we get a palindrome (537354848453735).

The spelling of 204043424113333 in words is "two hundred four trillion, forty-three billion, four hundred twenty-four million, one hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 7 41 49 287 761 1097 2009 5327 7679 31201 37289 44977 53753 121661 218407 314839 834817 851627 1528849 2203873 4988101 5843719 5961389 34227497 34916707 40906033 92584021 133462117 239592479 244416949 648088147 934234819 1677147353 3795944861 4536617029 5471946797 6539643733 26571614027 38303627579 101564671037 186001298189 268125393053 710952697259 4164151512517 4976668880813 29149060587619 204043424113333