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12332440341 = 3213105405473
BaseRepresentation
bin10110111110001001…
…00001101100010101
31011211110122212202200
423133010201230111
5200224101042331
65355422555113
7614416004364
oct133704415425
934743585680
1012332440341
115259382a61
122482138a99
131216cb02a0
1484dc377db
154c2a3b5e6
hex2df121b15

12332440341 has 12 divisors (see below), whose sum is σ = 19183796268. Its totient is φ = 7589193984.

The previous prime is 12332440331. The next prime is 12332440343. The reversal of 12332440341 is 14304423321.

12332440341 is a `hidden beast` number, since 1 + 233 + 24 + 403 + 4 + 1 = 666.

12332440341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6563430225 + 5769010116 = 81015^2 + 75954^2 .

It is not a de Polignac number, because 12332440341 - 26 = 12332440277 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12332440343) 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 11 ways as a sum of consecutive naturals, for example, 52702620 + ... + 52702853.

It is an arithmetic number, because the mean of its divisors is an integer number (1598649689).

Almost surely, 212332440341 is an apocalyptic number.

It is an amenable number.

12332440341 is a deficient number, since it is larger than the sum of its proper divisors (6851355927).

12332440341 is a wasteful number, since it uses less digits than its factorization.

12332440341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105405492 (or 105405489 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12332440341 its reverse (14304423321), we get a palindrome (26636863662).

The spelling of 12332440341 in words is "twelve billion, three hundred thirty-two million, four hundred forty thousand, three hundred forty-one".

Divisors: 1 3 9 13 39 117 105405473 316216419 948649257 1370271149 4110813447 12332440341