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212333113323 = 32198315119901
BaseRepresentation
bin1100010111000000001…
…0100010111111101011
3202022001212012202102100
43011300002202333223
511434324234111243
6241313335304443
721224545453422
oct3056002427753
9668055182370
10212333113323
1182060563841
1235199b1b123
131703b4a6876
14a3c40522b9
1557cb0950d3
hex31700a2feb

212333113323 has 48 divisors (see below), whose sum is σ = 326984636160. Its totient is φ = 132388344000.

The previous prime is 212333113319. The next prime is 212333113337. The reversal of 212333113323 is 323311333212.

212333113323 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 331 + 1 + 3 + 323 = 666.

212333113323 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 212333113323 - 22 = 212333113319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212333117323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21440673 + ... + 21450573.

It is an arithmetic number, because the mean of its divisors is an integer number (6812179920).

Almost surely, 2212333113323 is an apocalyptic number.

212333113323 is a deficient number, since it is larger than the sum of its proper divisors (114651522837).

212333113323 is a wasteful number, since it uses less digits than its factorization.

212333113323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11520 (or 11517 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 212333113323 its reverse (323311333212), we get a palindrome (535644446535).

The spelling of 212333113323 in words is "two hundred twelve billion, three hundred thirty-three million, one hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 9 19 57 83 171 249 747 1511 1577 4533 4731 9901 13599 14193 28709 29703 86127 89109 125413 188119 258381 376239 564357 821783 1128717 1693071 2382847 2465349 7148541 7396047 14960411 15613877 21445623 44881233 46841631 134643699 140524893 284247809 852743427 1241714113 2558230281 3725142339 11175427017 23592568147 70777704441 212333113323