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20221211210220 = 22325294194482811
BaseRepresentation
bin1001001100100000111100…
…00111000111000111101100
32122121010110222101022110200
410212100132013013013230
510122301020032211340
6111001255102033500
74154635315210626
oct446203607070754
978533428338420
1020221211210220
116496849620439
12232700a878890
13b38b0cbc8677
144dc9d7431c16
15251000578330
hex12641e1c71ec

20221211210220 has 144 divisors (see below), whose sum is σ = 65000395343520. Its totient is φ = 5079395865600.

The previous prime is 20221211210159. The next prime is 20221211210227. The reversal of 20221211210220 is 2201211212202.

It is a happy number.

20221211210220 is a `hidden beast` number, since 2 + 0 + 2 + 21 + 211 + 210 + 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 = 20221211210193 and 20221211210202.

It is not an unprimeable number, because it can be changed into a prime (20221211210227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47027386 + ... + 47455425.

It is an arithmetic number, because the mean of its divisors is an integer number (451391634330).

Almost surely, 220221211210220 is an apocalyptic number.

20221211210220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221211210220 is an abundant number, since it is smaller than the sum of its proper divisors (44779184133300).

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

20221211210220 is a wasteful number, since it uses less digits than its factorization.

20221211210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94482896 (or 94482891 counting only the distinct ones).

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

Adding to 20221211210220 its reverse (2201211212202), we get a palindrome (22422422422422).

The spelling of 20221211210220 in words is "twenty trillion, two hundred twenty-one billion, two hundred eleven million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 41 45 58 60 82 87 90 116 123 145 164 174 180 205 246 261 290 348 369 410 435 492 522 580 615 738 820 870 1044 1189 1230 1305 1476 1740 1845 2378 2460 2610 3567 3690 4756 5220 5945 7134 7380 10701 11890 14268 17835 21402 23780 35670 42804 53505 71340 107010 214020 94482811 188965622 283448433 377931244 472414055 566896866 850345299 944828110 1133793732 1417242165 1700690598 1889656220 2740001519 2834484330 3401381196 3873795251 4251726495 5480003038 5668968660 7747590502 8220004557 8503452990 10960006076 11621385753 13700007595 15495181004 16440009114 17006905980 19368976255 23242771506 24660013671 27400015190 32880018228 34864157259 38737952510 41100022785 46485543012 49320027342 54800030380 58106928765 69728314518 77475905020 82200045570 98640054684 112340062279 116213857530 123300068355 139456629036 164400091140 174320786295 224680124558 232427715060 246600136710 337020186837 348641572590 449360249116 493200273420 561700311395 674040373674 697283145180 1011060560511 1123400622790 1348080747348 1685100934185 2022121121022 2246801245580 3370201868370 4044242242044 5055302802555 6740403736740 10110605605110 20221211210220