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21211010220 = 2235538380363
BaseRepresentation
bin10011110000010001…
…100101010010101100
32000202020020221222010
4103300101211102230
5321420004311340
613424425321220
71350425416641
oct236021452254
960666227863
1021211010220
118aa5075a14
12413b636210
13200055572a
14105307ddc8
1584222db80
hex4f04654ac

21211010220 has 96 divisors (see below), whose sum is σ = 61241225472. Its totient is φ = 5482617088.

The previous prime is 21211010207. The next prime is 21211010243. The reversal of 21211010220 is 2201011212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21211010196 and 21211010205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223759 + ... + 304121.

It is an arithmetic number, because the mean of its divisors is an integer number (637929432).

Almost surely, 221211010220 is an apocalyptic number.

21211010220 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 21211010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30620612736).

21211010220 is an abundant number, since it is smaller than the sum of its proper divisors (40030215252).

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

21211010220 is a wasteful number, since it uses less digits than its factorization.

21211010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80511 (or 80509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21211010220 its reverse (2201011212), we get a palindrome (23412021432).

The spelling of 21211010220 in words is "twenty-one billion, two hundred eleven million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 83 106 159 166 212 249 265 318 332 415 498 530 636 795 830 996 1060 1245 1590 1660 2490 3180 4399 4980 8798 13197 17596 21995 26394 43990 52788 65985 80363 87980 131970 160726 241089 263940 321452 401815 482178 803630 964356 1205445 1607260 2410890 4259239 4821780 6670129 8518478 12777717 13340258 17036956 20010387 21296195 25555434 26680516 33350645 40020774 42592390 51110868 63888585 66701290 80041548 85184780 100051935 127777170 133402580 200103870 255554340 353516837 400207740 707033674 1060550511 1414067348 1767584185 2121101022 3535168370 4242202044 5302752555 7070336740 10605505110 21211010220