Base | Representation |
---|---|
bin | 1011001101000111101000… |
… | …0000011010001000101101 |
3 | 1121121210002220020120222000 |
4 | 2303101322000122020231 |
5 | 3103322341330213313 |
6 | 42111422542042513 |
7 | 2411043260525424 |
oct | 263217200321055 |
9 | 47553086216860 |
10 | 12320013132333 |
11 | 3a1a98525a695 |
12 | 146b84b579439 |
13 | 6b4a0684361a |
14 | 308412a642bb |
15 | 165712591673 |
hex | b347a01a22d |
12320013132333 has 64 divisors (see below), whose sum is σ = 19485849600000. Its totient is φ = 7670383801920.
The previous prime is 12320013132299. The next prime is 12320013132347. The reversal of 12320013132333 is 33323131002321.
12320013132333 is a `hidden beast` number, since 1 + 2 + 3 + 200 + 131 + 323 + 3 + 3 = 666.
It is not a de Polignac number, because 12320013132333 - 26 = 12320013132269 is a prime.
It is a super-3 number, since 3×123200131323333 (a number of 40 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 12320013132297 and 12320013132306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (12320013132233) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314274468 + ... + 314313666.
It is an arithmetic number, because the mean of its divisors is an integer number (304466400000).
Almost surely, 212320013132333 is an apocalyptic number.
It is an amenable number.
12320013132333 is a deficient number, since it is larger than the sum of its proper divisors (7165836467667).
12320013132333 is a wasteful number, since it uses less digits than its factorization.
12320013132333 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47927 (or 47921 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 27.
Adding to 12320013132333 its reverse (33323131002321), we get a palindrome (45643144134654).
The spelling of 12320013132333 in words is "twelve trillion, three hundred twenty billion, thirteen million, one hundred thirty-two thousand, three hundred thirty-three".
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