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213331320120 = 23359718327433
BaseRepresentation
bin1100011010101110001…
…0011001110100111000
3202101122102111220201110
43012223202121310320
511443400304220440
6242000354320320
721261356205342
oct3065342316470
9671572456643
10213331320120
1182522a72336
12354182890a0
131716a236789
14a47a854292
155838a20080
hex31ab899d38

213331320120 has 64 divisors (see below), whose sum is σ = 646591871520. Its totient is φ = 56301871104.

The previous prime is 213331320119. The next prime is 213331320143. The reversal of 213331320120 is 21023133312.

213331320120 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9152077 + ... + 9175356.

Almost surely, 2213331320120 is an apocalyptic number.

213331320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213331320120 is an abundant number, since it is smaller than the sum of its proper divisors (433260551400).

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

213331320120 is a wasteful number, since it uses less digits than its factorization.

213331320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18327544 (or 18327540 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 213331320120 its reverse (21023133312), we get a palindrome (234354453432).

The spelling of 213331320120 in words is "two hundred thirteen billion, three hundred thirty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 11640 18327433 36654866 54982299 73309732 91637165 109964598 146619464 183274330 219929196 274911495 366548660 439858392 549822990 733097320 1099645980 1777761001 2199291960 3555522002 5333283003 7111044004 8888805005 10666566006 14222088008 17777610010 21333132012 26666415015 35555220020 42666264024 53332830030 71110440040 106665660060 213331320120