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204224414201241 = 3741237194441581
BaseRepresentation
bin101110011011110110110011…
…101010011011010110011001
3222210002122220120020100222120
4232123312303222123112121
5203232003100013414431
62002203222314411453
761005504236465130
oct5633666352332631
9883078816210876
10204224414201241
115a0880a6773935
121aaa4087130b89
1389c53834472b5
14386072b6a0917
15189252ba2b196
hexb9bdb3a9b599

204224414201241 has 16 divisors (see below), whose sum is σ = 318789329486208. Its totient is φ = 113853331958400.

The previous prime is 204224414201233. The next prime is 204224414201281. The reversal of 204224414201241 is 142102414422402.

It is a happy number.

It is not a de Polignac number, because 204224414201241 - 23 = 204224414201233 is a prime.

It is a super-2 number, since 2×2042244142012412 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204224414201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118597219930 + ... + 118597221651.

It is an arithmetic number, because the mean of its divisors is an integer number (19924333092888).

Almost surely, 2204224414201241 is an apocalyptic number.

204224414201241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

204224414201241 is a deficient number, since it is larger than the sum of its proper divisors (114564915284967).

204224414201241 is a wasteful number, since it uses less digits than its factorization.

204224414201241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237194441632.

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 204224414201241 its reverse (142102414422402), we get a palindrome (346326828623643).

The spelling of 204224414201241 in words is "two hundred four trillion, two hundred twenty-four billion, four hundred fourteen million, two hundred one thousand, two hundred forty-one".

Divisors: 1 3 7 21 41 123 287 861 237194441581 711583324743 1660361091067 4981083273201 9724972104821 29174916314463 68074804733747 204224414201241