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20221221120210 = 232511119317121103
BaseRepresentation
bin1001001100100000111101…
…01100111010100011010010
32122121010111200000210102100
410212100132230322203102
510122301030101321320
6111001300054301230
74154635465354005
oct446203654724322
978533450023370
1020221221120210
116496854179a10
122327012057816
13b38b11c88276
144dc9d889153c
15251001384790
hex12641eb3a8d2

20221221120210 has 96 divisors (see below), whose sum is σ = 57402815678208. Its totient is φ = 4898004860160.

The previous prime is 20221221120203. The next prime is 20221221120229. The reversal of 20221221120210 is 1202112212202.

It is a happy number.

20221221120210 is a `hidden beast` number, since 2 + 0 + 221 + 2 + 211 + 20 + 210 = 666.

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

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, 7379482 + ... + 9741621.

It is an arithmetic number, because the mean of its divisors is an integer number (597945996648).

Almost surely, 220221221120210 is an apocalyptic number.

20221221120210 is an abundant number, since it is smaller than the sum of its proper divisors (37181594557998).

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

20221221120210 is a wasteful number, since it uses less digits than its factorization.

20221221120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17122320 (or 17122317 counting only the distinct ones).

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

Adding to 20221221120210 its reverse (1202112212202), we get a palindrome (21423333332412).

The spelling of 20221221120210 in words is "twenty trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1193 2386 3579 5965 7158 10737 11930 13123 17895 21474 26246 35790 39369 53685 65615 78738 107370 118107 131230 196845 236214 393690 590535 1181070 17121103 34242206 51363309 85605515 102726618 154089927 171211030 188332133 256816545 308179854 376664266 513633090 564996399 770449635 941660665 1129992798 1540899270 1694989197 1883321330 2824981995 3389978394 5649963990 8474945985 16949891970 20425475879 40850951758 61276427637 102127379395 122552855274 183829282911 204254758790 224680234669 306382138185 367658565822 449360469338 612764276370 674040704007 919146414555 1123401173345 1348081408014 1838292829110 2022122112021 2246802346690 3370203520035 4044244224042 6740407040070 10110610560105 20221221120210