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204124434242211 = 3472912414062777
BaseRepresentation
bin101110011010011001101100…
…011001001001101010100011
3222202202002211210022012210000
4232122121230121021222203
5203223333320131222321
62002045245345111043
760665334525036120
oct5632315431115243
9882662753265700
10204124434242211
115a04976068691a
121aa88824028483
1389b8b0bb33822
143859965179747
15188eb2944e826
hexb9a66c649aa3

204124434242211 has 40 divisors (see below), whose sum is σ = 360504383073120. Its totient is φ = 112620377503872.

The previous prime is 204124434242203. The next prime is 204124434242371. The reversal of 204124434242211 is 112242434421402.

204124434242211 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 2 + 4 + 4 + 3 + 424 + 221 + 1 = 666.

204124434242211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 204124434242211 - 23 = 204124434242203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204124434242611) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6207014946 + ... + 6207047831.

It is an arithmetic number, because the mean of its divisors is an integer number (9012609576828).

Almost surely, 2204124434242211 is an apocalyptic number.

204124434242211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

204124434242211 is a deficient number, since it is larger than the sum of its proper divisors (156379948830909).

204124434242211 is a wasteful number, since it uses less digits than its factorization.

204124434242211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12414062825 (or 12414062816 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 204124434242211 its reverse (112242434421402), we get a palindrome (316366868663613).

The spelling of 204124434242211 in words is "two hundred four trillion, one hundred twenty-four billion, four hundred thirty-four million, two hundred forty-two thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 29 63 81 87 189 203 261 567 609 783 1827 2349 5481 16443 12414062777 37242188331 86898439439 111726564993 260695318317 335179694979 360007820533 782085954951 1005539084937 1080023461599 2346257864853 2520054743731 3240070384797 7038773594559 7560164231193 9720211154391 22680492693579 29160633463173 68041478080737 204124434242211