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21112021022220 = 22325976911749877
BaseRepresentation
bin1001100110011100001101…
…00000110111011000001100
32202202021211001012110210200
410303032012200313120030
510231344404340202340
6112522421211533500
74306202363530302
oct463160640673014
982667731173720
1021112021022220
1167aa615528a37
12244b79915a290
13ba1b166a42bb
1452db82056272
1526928ad5b330
hex13338683760c

21112021022220 has 144 divisors (see below), whose sum is σ = 64793670640608. Its totient is φ = 5563765739520.

The previous prime is 21112021022153. The next prime is 21112021022237. The reversal of 21112021022220 is 2222012021112.

It is a happy number.

21112021022220 is a `hidden beast` number, since 211 + 1 + 2 + 0 + 210 + 22 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21112021022193 and 21112021022202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11189922 + ... + 12939798.

Almost surely, 221112021022220 is an apocalyptic number.

21112021022220 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 21112021022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32396835320304).

21112021022220 is an abundant number, since it is smaller than the sum of its proper divisors (43681649618388).

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

21112021022220 is a wasteful number, since it uses less digits than its factorization.

21112021022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750680 (or 1750675 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21112021022220 its reverse (2222012021112), we get a palindrome (23334033043332).

The spelling of 21112021022220 in words is "twenty-one trillion, one hundred twelve billion, twenty-one million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 691 873 970 1164 1382 1455 1746 1940 2073 2764 2910 3455 3492 4146 4365 5820 6219 6910 8292 8730 10365 12438 13820 17460 20730 24876 31095 41460 62190 67027 124380 134054 201081 268108 335135 402162 603243 670270 804324 1005405 1206486 1340540 1749877 2010810 2412972 3016215 3499754 4021620 5249631 6032430 6999508 8749385 10499262 12064860 15748893 17498770 20998524 26248155 31497786 34997540 52496310 62995572 78744465 104992620 157488930 169738069 314977860 339476138 509214207 678952276 848690345 1018428414 1209165007 1527642621 1697380690 2036856828 2418330014 2546071035 3055285242 3394761380 3627495021 4836660028 5092142070 6045825035 6110570484 7254990042 7638213105 10184284140 10882485063 12091650070 14509980084 15276426210 18137475105 21764970126 24183300140 30552852420 36274950210 43529940252 54412425315 72549900420 108824850630 117289005679 217649701260 234578011358 351867017037 469156022716 586445028395 703734034074 1055601051111 1172890056790 1407468068148 1759335085185 2111202102222 2345780113580 3518670170370 4222404204444 5278005255555 7037340340740 10556010511110 21112021022220