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12263066343 = 32111131096189
BaseRepresentation
bin10110110101110111…
…11000101011100111
31011122122010022112100
423122323320223213
5200103321110333
65344504023143
7612614226003
oct133273705347
934578108470
1012263066343
1152231aa280
122462a61ab3
131205800698
14844939703
154bb8d6213
hex2daef8ae7

12263066343 has 24 divisors (see below), whose sum is σ = 19494642960. Its totient is φ = 7366383360.

The previous prime is 12263066341. The next prime is 12263066359. The reversal of 12263066343 is 34366036221.

12263066343 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 306 + 6 + 343 = 666.

It is not a de Polignac number, because 12263066343 - 21 = 12263066341 is a prime.

It is a super-2 number, since 2×122630663432 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12263066298 and 12263066307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12263066341) 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, 536908 + ... + 559281.

It is an arithmetic number, because the mean of its divisors is an integer number (812276790).

Almost surely, 212263066343 is an apocalyptic number.

12263066343 is a deficient number, since it is larger than the sum of its proper divisors (7231576617).

12263066343 is a wasteful number, since it uses less digits than its factorization.

12263066343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096319 (or 1096316 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 12263066343 in words is "twelve billion, two hundred sixty-three million, sixty-six thousand, three hundred forty-three".

Divisors: 1 3 9 11 33 99 113 339 1017 1243 3729 11187 1096189 3288567 9865701 12058079 36174237 108522711 123869357 371608071 1114824213 1362562927 4087688781 12263066343