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221344530206317 = 729757418111729
BaseRepresentation
bin110010010100111111001010…
…000110001000111001101101
31002000201022220212212212201221
4302110333022012020321231
5213003002044213100232
62102432135020103341
764423420541460400
oct6224771206107155
91060638825785657
10221344530206317
1164588762952681
12209aa077394b51
139667913140c4b
143c931bd527d37
151a8ca2c3da897
hexc94fca188e6d

221344530206317 has 24 divisors (see below), whose sum is σ = 260182214744760. Its totient is φ = 187735237079040.

The previous prime is 221344530206273. The next prime is 221344530206377. The reversal of 221344530206317 is 713602035443122.

221344530206317 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 4 ways, for example, as 103071814600041 + 118272715606276 = 10152429^2 + 10875326^2 .

It is not a de Polignac number, because 221344530206317 - 211 = 221344530204269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221344530206377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23231109 + ... + 31342837.

It is an arithmetic number, because the mean of its divisors is an integer number (10840925614365).

Almost surely, 2221344530206317 is an apocalyptic number.

It is an amenable number.

221344530206317 is a deficient number, since it is larger than the sum of its proper divisors (38837684538443).

221344530206317 is an equidigital number, since it uses as much as digits as its factorization.

221344530206317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8117581 (or 8117574 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

Adding to 221344530206317 its reverse (713602035443122), we get a palindrome (934946565649439).

The spelling of 221344530206317 in words is "two hundred twenty-one trillion, three hundred forty-four billion, five hundred thirty million, two hundred six thousand, three hundred seventeen".

Divisors: 1 7 49 97 679 4753 5741 40187 281309 556877 3898139 8111729 27286973 56782103 397474721 786837713 5507863991 38555047937 46569436189 325986053323 2281902373261 4517235310333 31620647172331 221344530206317