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20221211000100 = 223521140115280897
BaseRepresentation
bin1001001100100000111100…
…00110010011110100100100
32122121010110221222122020110
410212100132012103310210
510122301020004000400
6111001255053333020
74154635313344215
oct446203606236444
978533427878213
1020221211000100
116496849497590
12232700a797170
13b38b0cb53b36
144dc9d73b940c
15251000535e50
hex12641e193d24

20221211000100 has 144 divisors (see below), whose sum is σ = 63984665094336. Its totient is φ = 4889886720000.

The previous prime is 20221211000069. The next prime is 20221211000129. The reversal of 20221211000100 is 100011212202.

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

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, 6317149 + ... + 8963748.

It is an arithmetic number, because the mean of its divisors is an integer number (444337952044).

Almost surely, 220221211000100 is an apocalyptic number.

20221211000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221211000100 is an abundant number, since it is smaller than the sum of its proper divisors (43763454094236).

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

20221211000100 is a wasteful number, since it uses less digits than its factorization.

20221211000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15281326 (or 15281319 counting only the distinct ones).

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

Adding to 20221211000100 its reverse (100011212202), we get a palindrome (20321222212302).

The spelling of 20221211000100 in words is "twenty trillion, two hundred twenty-one billion, two hundred eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 401 550 660 802 825 1100 1203 1604 1650 2005 2406 3300 4010 4411 4812 6015 8020 8822 10025 12030 13233 17644 20050 22055 24060 26466 30075 40100 44110 52932 60150 66165 88220 110275 120300 132330 220550 264660 330825 441100 661650 1323300 15280897 30561794 45842691 61123588 76404485 91685382 152808970 168089867 183370764 229213455 305617940 336179734 382022425 458426910 504269601 672359468 764044850 840449335 916853820 1008539202 1146067275 1528089700 1680898670 2017078404 2292134550 2521348005 3361797340 4202246675 4584269100 5042696010 6127639697 8404493350 10085392020 12255279394 12606740025 16808986700 18382919091 24510558788 25213480050 30638198485 36765838182 50426960100 61276396970 67404036667 73531676364 91914595455 122552793940 134808073334 153190992425 183829190910 202212110001 269616146668 306381984850 337020183335 367658381820 404424220002 459572977275 612763969700 674040366670 808848440004 919145954550 1011060550005 1348080733340 1685100916675 1838291909100 2022121100010 3370201833350 4044242200020 5055302750025 6740403666700 10110605500050 20221211000100