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206122061523213 = 321110726897236269
BaseRepresentation
bin101110110111011110001000…
…010000011110100100001101
31000000211002001212110110011200
4232313132020100132210031
5204004100440222220323
62010215100130340113
761262553556543113
oct5667361020364415
91000732055413150
10206122061523213
115a74996a158810
121b14ba0542a639
138b022c4941754
1438c850a86bab3
1518c6a93e94443
hexbb778841e90d

206122061523213 has 48 divisors (see below), whose sum is σ = 327955861022400. Its totient is φ = 123708922122240.

The previous prime is 206122061523197. The next prime is 206122061523227. The reversal of 206122061523213 is 312325160221602.

206122061523213 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 2 + 2 + 0 + 615 + 2 + 32 + 1 + 3 = 666.

206122061523213 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 206122061523213 - 24 = 206122061523197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206122061523253) 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, 24866443 + ... + 32102711.

It is an arithmetic number, because the mean of its divisors is an integer number (6832413771300).

Almost surely, 2206122061523213 is an apocalyptic number.

It is an amenable number.

206122061523213 is a deficient number, since it is larger than the sum of its proper divisors (121833799499187).

206122061523213 is a wasteful number, since it uses less digits than its factorization.

206122061523213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7239082 (or 7239079 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 206122061523213 in words is "two hundred six trillion, one hundred twenty-two billion, sixty-one million, five hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 99 107 321 963 1177 2689 3531 8067 10593 24201 29579 88737 266211 287723 863169 2589507 3164953 7236269 9494859 21708807 28484577 65126421 79598959 238796877 716390631 774280783 2322842349 6968527047 8517088613 19458327341 25551265839 58374982023 76653797517 175124946069 214041600751 642124802253 1926374406759 2082041025487 6246123076461 18738369229383 22902451280357 68707353841071 206122061523213