Base | Representation |
---|---|
bin | 110000100000001111110011… |
… | …010001110011111111010000 |
3 | 1000222022101221110002112010212 |
4 | 300200033303101303333100 |
5 | 210430032402342121222 |
6 | 2033410513114343252 |
7 | 62635010346643616 |
oct | 6040176321637720 |
9 | 1028271843075125 |
10 | 213322222223312 |
11 | 61a754a0167654 |
12 | 1bb1333872ab28 |
13 | 9205278963557 |
14 | 3a96bca2576b6 |
15 | 199e001cac6e2 |
hex | c203f3473fd0 |
213322222223312 has 40 divisors (see below), whose sum is σ = 437625972535752. Its totient is φ = 100386536345600.
The previous prime is 213322222223311. The next prime is 213322222223321.
213322222223312 is nontrivially palindromic in base 10.
213322222223312 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 69668669594176 + 143653552629136 = 8346776^2 + 11985556^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213322222223311) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75391262 + ... + 78169602.
Almost surely, 2213322222223312 is an apocalyptic number.
It is an amenable number.
213322222223312 is an abundant number, since it is smaller than the sum of its proper divisors (224303750312440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213322222223312 is a wasteful number, since it uses less digits than its factorization.
213322222223312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3060647 (or 3060641 counting only the distinct ones).
The product of its digits is 41472, while the sum is 32.
The spelling of 213322222223312 in words is "two hundred thirteen trillion, three hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, three hundred twelve".
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