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21212110220 = 2257316772949
BaseRepresentation
bin10011110000010101…
…110001110110001100
32000202022022211212212
4103300111301312030
5321420300011340
613424505045552
71350440650640
oct236025616614
960668284785
1021212110220
118aa5757404
12413ba868b8
13200084c312
141053288c20
15842399a65
hex4f0571d8c

21212110220 has 96 divisors (see below), whose sum is σ = 53336371200. Its totient is φ = 6932977920.

The previous prime is 21212110187. The next prime is 21212110229. The reversal of 21212110220 is 2201121212.

It is a super-3 number, since 3×212121102203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21212110195 and 21212110204.

It is not an unprimeable number, because it can be changed into a prime (21212110229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254306 + ... + 327254.

It is an arithmetic number, because the mean of its divisors is an integer number (555587200).

Almost surely, 221212110220 is an apocalyptic number.

21212110220 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 21212110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26668185600).

21212110220 is an abundant number, since it is smaller than the sum of its proper divisors (32124260980).

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

21212110220 is a wasteful number, since it uses less digits than its factorization.

21212110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73063 (or 73061 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21212110220 its reverse (2201121212), we get a palindrome (23413231432).

The spelling of 21212110220 in words is "twenty-one billion, two hundred twelve million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 67 70 124 134 140 155 217 268 310 335 434 469 620 670 868 938 1085 1340 1876 2077 2170 2345 4154 4340 4690 8308 9380 10385 14539 20770 29078 41540 58156 72695 72949 145390 145898 290780 291796 364745 510643 729490 1021286 1458980 2042572 2261419 2553215 4522838 4887583 5106430 9045676 9775166 10212860 11307095 15829933 19550332 22614190 24437915 31659866 34213081 45228380 48875830 63319732 68426162 79149665 97751660 136852324 151515073 158299330 171065405 303030146 316598660 342130810 606060292 684261620 757575365 1060605511 1515150730 2121211022 3030301460 4242422044 5303027555 10606055110 21212110220