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20022144111222 = 23112311325127277
BaseRepresentation
bin1001000110101110001001…
…10010011001001001110110
32121220002122122111220120020
410203113010302121021312
510111020322343024342
6110330013535150010
74134360252612621
oct443270462311166
977802578456506
1020022144111222
11641a386413600
1222b4513675306
13b23106c52426
144d31111d2db8
1524ac4de7e0ec
hex1235c4c99276

20022144111222 has 96 divisors (see below), whose sum is σ = 44172353901312. Its totient is φ = 6045725400000.

The previous prime is 20022144111209. The next prime is 20022144111223. The reversal of 20022144111222 is 22211144122002.

It is a junction number, because it is equal to n+sod(n) for n = 20022144111192 and 20022144111201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022144111223) 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, 734016648 + ... + 734043924.

It is an arithmetic number, because the mean of its divisors is an integer number (460128686472).

Almost surely, 220022144111222 is an apocalyptic number.

20022144111222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022144111222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22086176950656).

20022144111222 is an abundant number, since it is smaller than the sum of its proper divisors (24150209790090).

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

20022144111222 is a wasteful number, since it uses less digits than its factorization.

20022144111222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30866 (or 30855 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 20022144111222 its reverse (22211144122002), we get a palindrome (42233288233224).

The spelling of 20022144111222 in words is "twenty trillion, twenty-two billion, one hundred forty-four million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 311 363 622 726 933 1866 3251 3421 6502 6842 9753 10263 19506 20526 27277 35761 37631 54554 71522 75262 81831 107283 112893 163662 214566 225786 300047 393371 600094 786742 900141 1011061 1180113 1800282 2022122 2360226 3033183 3300517 6066366 6601034 8483147 9901551 11121671 16966294 19803102 22243342 25449441 33365013 50898882 66730026 88677527 93314617 122338381 177355054 186629234 244676762 266032581 279943851 367015143 532065162 559887702 734030286 975452797 1026460787 1950905594 2052921574 2926358391 3079382361 5852716782 6158764722 10729980767 21459961534 27578710897 32189942301 55157421794 64379884602 82736132691 165472265382 303365819867 606731639734 910097459601 1820194919202 3337024018537 6674048037074 10011072055611 20022144111222