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12133022211 = 334126874079
BaseRepresentation
bin10110100110010111…
…10011101000000011
31011022120102101112000
423103023303220003
5144322023202321
65323540435043
7606444662412
oct132313635003
934276371460
1012133022211
115166858192
1224273a8a83
1311b489aaab
14831567479
154b0299826
hex2d32f3a03

12133022211 has 32 divisors (see below), whose sum is σ = 18424627200. Its totient is φ = 7886525760.

The previous prime is 12133022189. The next prime is 12133022249. The reversal of 12133022211 is 11222033121.

12133022211 is a `hidden beast` number, since 121 + 330 + 2 + 2 + 211 = 666.

12133022211 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 12133022211 - 29 = 12133021699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12133022611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2972470 + ... + 2976548.

It is an arithmetic number, because the mean of its divisors is an integer number (575769600).

Almost surely, 212133022211 is an apocalyptic number.

12133022211 is a deficient number, since it is larger than the sum of its proper divisors (6291604989).

12133022211 is a wasteful number, since it uses less digits than its factorization.

12133022211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 6810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12133022211 its reverse (11222033121), we get a palindrome (23355055332).

The spelling of 12133022211 in words is "twelve billion, one hundred thirty-three million, twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 27 41 123 369 1107 2687 4079 8061 12237 24183 36711 72549 110133 110167 167239 330501 501717 991503 1505151 2974509 4515453 10960273 32880819 98642457 295927371 449371193 1348113579 4044340737 12133022211