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21120222020022 = 2334143230996079
BaseRepresentation
bin1001100110101011011110…
…10101001100000110110110
32202210001222120211022212000
410303111233111030012312
510232013203314120042
6112530255051440130
74306612535052006
oct463255725140666
982701876738760
1021120222020022
1168030437aaa74
1224512a7756046
13ba2822760918
1453031d2c2006
152695bad0b74c
hex13356f54c1b6

21120222020022 has 128 divisors (see below), whose sum is σ = 49218478848000. Its totient is φ = 6705660245760.

The previous prime is 21120222019997. The next prime is 21120222020041. The reversal of 21120222020022 is 22002022202112.

21120222020022 is a `hidden beast` number, since 21 + 1 + 202 + 220 + 200 + 22 = 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 = 21120222019977 and 21120222020004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219773379 + ... + 219869457.

It is an arithmetic number, because the mean of its divisors is an integer number (384519366000).

Almost surely, 221120222020022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120222020022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24609239424000).

21120222020022 is an abundant number, since it is smaller than the sum of its proper divisors (28098256827978).

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

21120222020022 is a wasteful number, since it uses less digits than its factorization.

21120222020022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98483 (or 98477 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21120222020022 its reverse (22002022202112), we get a palindrome (43122244222134).

The spelling of 21120222020022 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty-two million, twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 41 43 54 82 86 123 129 246 258 369 387 738 774 1107 1161 1763 2214 2309 2322 3526 4618 5289 6927 10578 13854 15867 20781 31734 41562 47601 62343 94669 95202 96079 99287 124686 189338 192158 198574 284007 288237 297861 568014 576474 595722 852021 864711 893583 1704042 1729422 1787166 2556063 2594133 2680749 3939239 4070767 4131397 5112126 5188266 5361498 7878478 8141534 8262794 11817717 12212301 12394191 23635434 24424602 24788382 35453151 36636903 37182573 70906302 73273806 74365146 106359453 109910709 111547719 169387277 212718906 219821418 221846411 223095438 338774554 443692822 508161831 665539233 1016323662 1331078466 1524485493 1996617699 3048970986 3993235398 4573456479 5989853097 9095702851 9146912958 9539395673 11979706194 18191405702 19078791346 27287108553 28618187019 54574217106 57236374038 81861325659 85854561057 163722651318 171709122114 245583976977 257563683171 391115222593 491167953954 515127366342 782230445186 1173345667779 2346691335558 3520037003337 7040074006674 10560111010011 21120222020022