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12033131211 = 3229281164071
BaseRepresentation
bin10110011010011101…
…10000001011001011
31011001121110101211100
423031032300023023
5144120440144321
65310011432443
7604122633123
oct131516601313
934047411740
1012033131211
115115430642
1223b9a55723
131199c94aaa
148221a3c83
154a6617326
hex2cd3b02cb

12033131211 has 24 divisors (see below), whose sum is σ = 18044638560. Its totient is φ = 7717852800.

The previous prime is 12033131207. The next prime is 12033131219. The reversal of 12033131211 is 11213133021.

12033131211 is a `hidden beast` number, since 1 + 20 + 331 + 312 + 1 + 1 = 666.

12033131211 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 12033131211 - 22 = 12033131207 is a prime.

It is a super-2 number, since 2×120331312112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12033131219) 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 23 ways as a sum of consecutive naturals, for example, 8695 + ... + 155376.

It is an arithmetic number, because the mean of its divisors is an integer number (751859940).

Almost surely, 212033131211 is an apocalyptic number.

12033131211 is a deficient number, since it is larger than the sum of its proper divisors (6011507349).

12033131211 is a wasteful number, since it uses less digits than its factorization.

12033131211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164387 (or 164384 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12033131211 its reverse (11213133021), we get a palindrome (23246264232).

The spelling of 12033131211 in words is "twelve billion, thirty-three million, one hundred thirty-one thousand, two hundred eleven".

Divisors: 1 3 9 29 87 261 281 843 2529 8149 24447 73341 164071 492213 1476639 4758059 14274177 42822531 46103951 138311853 414935559 1337014579 4011043737 12033131211