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112022111122020 = 2232511565310008283
BaseRepresentation
bin11001011110001000101110…
…001000111111001001100100
3112200122012122112101000022100
4121132020232020333021210
5104140332240421401040
61034130125234532100
732411221225460331
oct3136105610771144
9480565575330270
10112022111122020
113276a346355240
1210692776437030
134a678416c3788
141d93c83219988
15ce3e4396db30
hex65e22e23f264

112022111122020 has 144 divisors (see below), whose sum is σ = 370756960846272. Its totient is φ = 27152068734720.

The previous prime is 112022111121979. The next prime is 112022111122043. The reversal of 112022111122020 is 20221111220211.

112022111122020 is a `hidden beast` number, since 1 + 1 + 202 + 211 + 11 + 220 + 20 = 666.

112022111122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 112022111121984 and 112022111122002.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6188799 + ... + 16197081.

It is an arithmetic number, because the mean of its divisors is an integer number (2574701116988).

Almost surely, 2112022111122020 is an apocalyptic number.

112022111122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112022111122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185378480423136).

112022111122020 is an abundant number, since it is smaller than the sum of its proper divisors (258734849724252).

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

112022111122020 is a wasteful number, since it uses less digits than its factorization.

112022111122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10013962 (or 10013957 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112022111122020 its reverse (20221111220211), we get a palindrome (132243222342231).

It can be divided in two parts, 1 and 12022111122020, that added together give a palindrome (12022111122021).

The spelling of 112022111122020 in words is "one hundred twelve trillion, twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5653 11306 16959 22612 28265 33918 50877 56530 62183 67836 84795 101754 113060 124366 169590 186549 203508 248732 254385 310915 339180 373098 508770 559647 621830 746196 932745 1017540 1119294 1243660 1865490 2238588 2798235 3730980 5596470 10008283 11192940 20016566 30024849 40033132 50041415 60049698 90074547 100082830 110091113 120099396 150124245 180149094 200165660 220182226 300248490 330273339 360298188 440364452 450372735 550455565 600496980 660546678 900745470 990820017 1100911130 1321093356 1651366695 1801490940 1981640034 2201822260 3302733390 3963280068 4954100085 6605466780 9908200170 19816400340 56576823799 113153647598 169730471397 226307295196 282884118995 339460942794 509191414191 565768237990 622345061789 678921885588 848652356985 1018382828382 1131536475980 1244690123578 1697304713970 1867035185367 2036765656764 2489380247156 2545957070955 3111725308945 3394609427940 3734070370734 5091914141910 5601105556101 6223450617890 7468140741468 9335175926835 10183828283820 11202211112202 12446901235780 18670351853670 22404422224404 28005527780505 37340703707340 56011055561010 112022111122020