Base | Representation |
---|---|
bin | 10110111110001101… |
… | …01010011010000001 |
3 | 1011211111201022220200 |
4 | 23133012222122001 |
5 | 200224222002241 |
6 | 5355442555413 |
7 | 614423526105 |
oct | 133706523201 |
9 | 34744638820 |
10 | 12333000321 |
11 | 5259725754 |
12 | 2482368b69 |
13 | 1217148135 |
14 | 84dd41905 |
15 | 4c2aec4b6 |
hex | 2df1aa681 |
12333000321 has 24 divisors (see below), whose sum is σ = 18304674024. Its totient is φ = 7995905280.
The previous prime is 12333000311. The next prime is 12333000343. The reversal of 12333000321 is 12300033321.
12333000321 is a `hidden beast` number, since 12 + 3 + 330 + 0 + 0 + 321 = 666.
12333000321 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 4 ways, for example, as 2510010000 + 9822990321 = 50100^2 + 99111^2 .
It is not a de Polignac number, because 12333000321 - 213 = 12332992129 is a prime.
It is a super-2 number, since 2×123330003212 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 12333000294 and 12333000303.
It is not an unprimeable number, because it can be changed into a prime (12333000311) 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, 783751 + ... + 799331.
It is an arithmetic number, because the mean of its divisors is an integer number (762694751).
Almost surely, 212333000321 is an apocalyptic number.
It is an amenable number.
12333000321 is a deficient number, since it is larger than the sum of its proper divisors (5971673703).
12333000321 is a wasteful number, since it uses less digits than its factorization.
12333000321 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18001 (or 17998 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 12333000321 its reverse (12300033321), we get a palindrome (24633033642).
It can be divided in two parts, 12333000 and 321, that added together give a palindrome (12333321).
The spelling of 12333000321 in words is "twelve billion, three hundred thirty-three million, three hundred twenty-one", and thus it is an aban number.
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