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21120320220 = 2235679754163
BaseRepresentation
bin10011101010110111…
…101000001011011100
32000111220121102200020
4103222313220023130
5321223300221340
613411425432140
71345244521416
oct235267501334
960456542606
1021120320220
118a589631aa
12411519b650
131cb78216cc
141044dd39b6
158392b79d0
hex4eade82dc

21120320220 has 96 divisors (see below), whose sum is σ = 60639414528. Its totient is φ = 5490726912.

The previous prime is 21120320213. The next prime is 21120320237. The reversal of 21120320220 is 2202302112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21120320220.

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 31 ways as a sum of consecutive naturals, for example, 362859 + ... + 417021.

It is an arithmetic number, because the mean of its divisors is an integer number (631660568).

Almost surely, 221120320220 is an apocalyptic number.

21120320220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30319707264).

21120320220 is an abundant number, since it is smaller than the sum of its proper divisors (39519094308).

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

21120320220 is a wasteful number, since it uses less digits than its factorization.

21120320220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54339 (or 54337 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 21120320220 its reverse (2202302112), we get a palindrome (23322622332).

The spelling of 21120320220 in words is "twenty-one billion, one hundred twenty million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 97 134 194 201 268 291 335 388 402 485 582 670 804 970 1005 1164 1340 1455 1940 2010 2910 4020 5820 6499 12998 19497 25996 32495 38994 54163 64990 77988 97485 108326 129980 162489 194970 216652 270815 324978 389940 541630 649956 812445 1083260 1624890 3249780 3628921 5253811 7257842 10507622 10886763 14515684 15761433 18144605 21015244 21773526 26269055 31522866 36289210 43547052 52538110 54433815 63045732 72578420 78807165 105076220 108867630 157614330 217735260 315228660 352005337 704010674 1056016011 1408021348 1760026685 2112032022 3520053370 4224064044 5280080055 7040106740 10560160110 21120320220