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12133232321 = 731251331673
BaseRepresentation
bin10110100110011001…
…00110111011000001
31011022120211001201212
423103030212323001
5144322101413241
65323545135505
7606446526110
oct132314467301
934276731655
1012133232321
115166991031
12242748a595
1311b4942612
148315bdc77
154b02dbbeb
hex2d3326ec1

12133232321 has 32 divisors (see below), whose sum is σ = 14435721216. Its totient is φ = 9979200000.

The previous prime is 12133232311. The next prime is 12133232327. The reversal of 12133232321 is 12323233121.

12133232321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12133232321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12133232327) 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, 18028241 + ... + 18028913.

It is an arithmetic number, because the mean of its divisors is an integer number (451116288).

Almost surely, 212133232321 is an apocalyptic number.

It is an amenable number.

12133232321 is a deficient number, since it is larger than the sum of its proper divisors (2302488895).

12133232321 is a wasteful number, since it uses less digits than its factorization.

12133232321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293.

The product of its digits is 1296, while the sum is 23.

Adding to 12133232321 its reverse (12323233121), we get a palindrome (24456465442).

The spelling of 12133232321 in words is "twelve billion, one hundred thirty-three million, two hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 7 31 217 251 331 673 1757 2317 4711 7781 10261 20863 54467 71827 83081 146041 168923 222763 581567 1182461 1559341 2575511 5236613 6905653 18028577 36656291 48339571 55913513 391394591 1733318903 12133232321