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212100221220 = 223531293389189
BaseRepresentation
bin1100010110001000101…
…0001000100100100100
3202021110121222121111220
43011202022020210210
511433340124034340
6241234255500340
721216020063616
oct3054212104444
9667417877456
10212100221220
1181a51055528
1235133b276b0
13170021740a4
14a3a114adb6
1557b58deed0
hex3162288924

212100221220 has 96 divisors (see below), whose sum is σ = 615131919360. Its totient is φ = 54548590080.

The previous prime is 212100221209. The next prime is 212100221237. The reversal of 212100221220 is 22122001212.

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 212100221220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350386 + ... + 739574.

It is an arithmetic number, because the mean of its divisors is an integer number (6407624160).

Almost surely, 2212100221220 is an apocalyptic number.

212100221220 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 212100221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307565959680).

212100221220 is an abundant number, since it is smaller than the sum of its proper divisors (403031698140).

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

212100221220 is a wasteful number, since it uses less digits than its factorization.

212100221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389525 (or 389523 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212100221220 its reverse (22122001212), we get a palindrome (234222222432).

The spelling of 212100221220 in words is "two hundred twelve billion, one hundred million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 293 310 372 465 586 620 879 930 1172 1465 1758 1860 2930 3516 4395 5860 8790 9083 17580 18166 27249 36332 45415 54498 90830 108996 136245 181660 272490 389189 544980 778378 1167567 1556756 1945945 2335134 3891890 4670268 5837835 7783780 11675670 12064859 23351340 24129718 36194577 48259436 60324295 72389154 114032377 120648590 144778308 180972885 228064754 241297180 342097131 361945770 456129508 570161885 684194262 723891540 1140323770 1368388524 1710485655 2280647540 3420971310 3535003687 6841942620 7070007374 10605011061 14140014748 17675018435 21210022122 35350036870 42420044244 53025055305 70700073740 106050110610 212100221220