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213322222223312 = 24172822812778341
BaseRepresentation
bin110000100000001111110011…
…010001110011111111010000
31000222022101221110002112010212
4300200033303101303333100
5210430032402342121222
62033410513114343252
762635010346643616
oct6040176321637720
91028271843075125
10213322222223312
1161a754a0167654
121bb1333872ab28
139205278963557
143a96bca2576b6
15199e001cac6e2
hexc203f3473fd0

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".

Divisors: 1 2 4 8 16 17 34 68 136 272 282281 564562 1129124 2258248 2778341 4516496 4798777 5556682 9597554 11113364 19195108 22226728 38390216 44453456 47231797 76780432 94463594 188927188 377854376 755708752 784272875821 1568545751642 3137091503284 6274183006568 12548366013136 13332638888957 26665277777914 53330555555828 106661111111656 213322222223312