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213220320330 = 235231487207811
BaseRepresentation
bin1100011010010011101…
…0111110010001001010
3202101100200122112122010
43012210322332101022
511443133400222310
6241541351240350
721255540550653
oct3064472762112
9671320575563
10213220320330
1182476348576
12353a70790b6
1317150241324
14a469bdc52a
15582dde6320
hex31a4ebe44a

213220320330 has 64 divisors (see below), whose sum is σ = 534339514368. Its totient is φ = 54349796160.

The previous prime is 213220320317. The next prime is 213220320349. The reversal of 213220320330 is 33023022312.

213220320330 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2132203203302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213220320297 and 213220320306.

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 31 ways as a sum of consecutive naturals, for example, 922125 + ... + 1129935.

It is an arithmetic number, because the mean of its divisors is an integer number (8349054912).

Almost surely, 2213220320330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213220320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267169757184).

213220320330 is an abundant number, since it is smaller than the sum of its proper divisors (321119194038).

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

213220320330 is a wasteful number, since it uses less digits than its factorization.

213220320330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209331.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 213220320330 its reverse (33023022312), we get a palindrome (246243342642).

The spelling of 213220320330 in words is "two hundred thirteen billion, two hundred twenty million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 690 1487 2974 4461 7435 8922 14870 22305 34201 44610 68402 102603 171005 205206 207811 342010 415622 513015 623433 1026030 1039055 1246866 2078110 3117165 4779653 6234330 9559306 14338959 23898265 28677918 47796530 71694795 143389590 309014957 618029914 927044871 1545074785 1854089742 3090149570 4635224355 7107344011 9270448710 14214688022 21322032033 35536720055 42644064066 71073440110 106610160165 213220320330