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20220220110321 = 37711655118329
BaseRepresentation
bin1001001100011111000110…
…00010010111010111110001
32122121000220220110020000000
410212033203002113113301
510122242002322012241
6111001012455220213
74154601622045560
oct446174302272761
978530826406000
1020220220110321
116496390126410
122326992977669
13b389b278651a
144dc94195dbd7
15250e93553eb6
hex1263e30975f1

20220220110321 has 128 divisors (see below), whose sum is σ = 37816508620800. Its totient is φ = 10501834032000.

The previous prime is 20220220110289. The next prime is 20220220110323. The reversal of 20220220110321 is 12301102202202.

It is not a de Polignac number, because 20220220110321 - 25 = 20220220110289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20220220110294 and 20220220110303.

It is not an unprimeable number, because it can be changed into a prime (20220220110323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1103172685 + ... + 1103191013.

It is an arithmetic number, because the mean of its divisors is an integer number (295441473600).

Almost surely, 220220220110321 is an apocalyptic number.

20220220110321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20220220110321 is a deficient number, since it is larger than the sum of its proper divisors (17596288510479).

20220220110321 is an equidigital number, since it uses as much as digits as its factorization.

20220220110321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24919 (or 24901 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20220220110321 its reverse (12301102202202), we get a palindrome (32521322312523).

The spelling of 20220220110321 in words is "twenty trillion, two hundred twenty billion, two hundred twenty million, one hundred ten thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 567 693 729 891 1701 2079 2187 2673 5103 6237 6551 8019 15309 18329 18711 19653 24057 45857 54987 56133 58959 72061 128303 137571 164961 168399 176877 201619 216183 384909 412713 494883 504427 530631 604857 648549 1154727 1238139 1411333 1484649 1513281 1591893 1814571 1945647 3464181 3714417 4233999 4453947 4539843 4775679 5443713 5836941 10392543 11143251 12701997 13361841 13619529 14327037 16331139 17510823 31177629 33429753 38105991 40085523 40858587 48993417 52532469 93532887 100289259 114317973 120073279 122575761 146980251 157597407 280598661 342953919 360219837 367727283 440940753 840512953 1028861757 1080659511 1103181849 1320806069 2521538859 3086585271 3241978533 3962418207 7564616577 9245642483 9725935599 11887254621 22693849731 27736927449 29177806797 35661763863 68081549193 83210782347 87533420391 106985291589 204244647579 249632347041 262600261173 320955874767 612733942737 748897041123 962867624301 1838201828211 2246691123369 2888602872903 6740073370107 20220220110321