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21120012322220 = 22572273791753481
BaseRepresentation
bin1001100110101011000101…
…10101010000010110101100
32202210001102222020120112202
410303111202311100112230
510232012241123302340
6112530222201121032
74306604410464110
oct463254265202654
982701388216482
1021120012322220
116802a463a39a9
122451249489178
13ba27bb18c496
145302dd4d7740
152695a76d8c15
hex133562d505ac

21120012322220 has 96 divisors (see below), whose sum is σ = 51045684641280. Its totient is φ = 7190221893120.

The previous prime is 21120012322039. The next prime is 21120012322247. The reversal of 21120012322220 is 2222321002112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21120012322192 and 21120012322201.

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, 11167880 + ... + 12921360.

It is an arithmetic number, because the mean of its divisors is an integer number (531725881680).

Almost surely, 221120012322220 is an apocalyptic number.

21120012322220 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 21120012322220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25522842320640).

21120012322220 is an abundant number, since it is smaller than the sum of its proper divisors (29925672319060).

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

21120012322220 is a wasteful number, since it uses less digits than its factorization.

21120012322220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754103 (or 1754101 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 21120012322220 its reverse (2222321002112), we get a palindrome (23342333324332).

The spelling of 21120012322220 in words is "twenty-one trillion, one hundred twenty billion, twelve million, three hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 227 379 454 758 908 1135 1516 1589 1895 2270 2653 3178 3790 4540 5306 6356 7580 7945 10612 13265 15890 26530 31780 53060 86033 172066 344132 430165 602231 860330 1204462 1720660 1753481 2408924 3011155 3506962 6022310 7013924 8767405 12044620 12274367 17534810 24548734 35069620 49097468 61371835 122743670 245487340 398040187 664569299 796080374 1329138598 1592160748 1990200935 2658277196 2786281309 3322846495 3980401870 4651985093 5572562618 6645692990 7960803740 9303970186 11145125236 13291385980 13931406545 18607940372 23259925465 27862813090 46519850930 55725626180 93039701860 150857230873 301714461746 603428923492 754286154365 1056000616111 1508572308730 2112001232222 3017144617460 4224002464444 5280003080555 10560006161110 21120012322220