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213320011322304 = 2632992937299551
BaseRepresentation
bin110000100000001101101111…
…011111111001001111000000
31000222022012020100220010010100
4300200031233133321033000
5210430013340344303204
62033405505455202400
762634601512413235
oct6040155737711700
91028265210803110
10213320011322304
1161a74566171a37
121bb12a20216400
139204cb58b61c3
143a96a5a77d78c
15199de22b3aa39
hexc2036f7f93c0

213320011322304 has 84 divisors (see below), whose sum is σ = 611504894295360. Its totient is φ = 71099507020800.

The previous prime is 213320011322291. The next prime is 213320011322311. The reversal of 213320011322304 is 403223110023312.

213320011322304 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 20 + 0 + 11 + 322 + 304 = 666.

213320011322304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12930672 + ... + 24368879.

Almost surely, 2213320011322304 is an apocalyptic number.

213320011322304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213320011322304 is an abundant number, since it is smaller than the sum of its proper divisors (398184882973056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213320011322304 is a wasteful number, since it uses less digits than its factorization.

213320011322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37309498 (or 37309485 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213320011322304 its reverse (403223110023312), we get a palindrome (616543121345616).

The spelling of 213320011322304 in words is "two hundred thirteen trillion, three hundred twenty billion, eleven million, three hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 9929 19858 29787 39716 59574 79432 89361 119148 158864 178722 238296 317728 357444 476592 635456 714888 953184 1429776 1906368 2859552 5719104 37299551 74599102 111898653 149198204 223797306 298396408 335695959 447594612 596792816 671391918 895189224 1193585632 1342783836 1790378448 2387171264 2685567672 3580756896 5371135344 7161513792 10742270688 21484541376 370347241879 740694483758 1111041725637 1481388967516 2222083451274 2962777935032 3333125176911 4444166902548 5925555870064 6666250353822 8888333805096 11851111740128 13332500707644 17776667610192 23702223480256 26665001415288 35553335220384 53330002830576 71106670440768 106660005661152 213320011322304