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22021121122020 = 22325317401962417
BaseRepresentation
bin1010000000111001100010…
…00110100001111011100100
32212222012100210102112011100
411000130301012201323210
510341243224001401040
6114500210254040100
74431654624061116
oct500346106417344
985865323375140
1022021121122020
117020117869469
122577a10aa9030
13c3977658a737
14561b83c6d3b6
15282c47238b30
hex1407311a1ee4

22021121122020 has 144 divisors (see below), whose sum is σ = 67175290426608. Its totient is φ = 5839170355200.

The previous prime is 22021121121971. The next prime is 22021121122079. The reversal of 22021121122020 is 2022112112022.

It is a happy number.

22021121122020 is a `hidden beast` number, since 2 + 2 + 0 + 211 + 211 + 220 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2709827136 + 22018411294884 = 52056^2 + 4692378^2 .

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 = 22021121121984 and 22021121122002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22399852 + ... + 23362268.

It is an arithmetic number, because the mean of its divisors is an integer number (466495072407).

Almost surely, 222021121122020 is an apocalyptic number.

22021121122020 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 22021121122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33587645213304).

22021121122020 is an abundant number, since it is smaller than the sum of its proper divisors (45154169304588).

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

22021121122020 is a wasteful number, since it uses less digits than its factorization.

22021121122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963150 (or 963145 counting only the distinct ones).

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

Adding to 22021121122020 its reverse (2022112112022), we get a palindrome (24043233234042).

The spelling of 22021121122020 in words is "twenty-two trillion, twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 317 401 634 802 951 1203 1268 1585 1604 1902 2005 2406 2853 3170 3609 3804 4010 4755 4812 5706 6015 6340 7218 8020 9510 11412 12030 14265 14436 18045 19020 24060 28530 36090 57060 72180 127117 254234 381351 508468 635585 762702 962417 1144053 1271170 1525404 1906755 1924834 2288106 2542340 2887251 3813510 3849668 4576212 4812085 5720265 5774502 7627020 8661753 9624170 11440530 11549004 14436255 17323506 19248340 22881060 28872510 34647012 43308765 57745020 86617530 173235060 305086189 385929217 610172378 771858434 915258567 1157787651 1220344756 1525430945 1543716868 1830517134 1929646085 2315575302 2745775701 3050861890 3473362953 3661034268 3859292170 4576292835 4631150604 5491551402 5788938255 6101723780 6946725906 7718584340 9152585670 10983102804 11577876510 13728878505 13893451812 17366814765 18305171340 23155753020 27457757010 34733629530 54915514020 69467259060 122339561789 244679123578 367018685367 489358247156 611697808945 734037370734 1101056056101 1223395617890 1468074741468 1835093426835 2202112112202 2446791235780 3670186853670 4404224224404 5505280280505 7340373707340 11010560561010 22021121122020