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111022021222020 = 223252941775091833
BaseRepresentation
bin11001001111100101010100…
…001000110001111010000100
3112120002121020112210012012200
4121033211110020301322010
5104022441044413101040
61032042451253314500
732246035116543216
oct3117452410617204
9476077215705180
10111022021222020
11324141a1707127
121055098a335a30
1349c444090c68c
141d5b6ccc905b6
15cc7e0e39a630
hex64f954231e84

111022021222020 has 144 divisors (see below), whose sum is σ = 348462918563760. Its totient is φ = 28578131140608.

The previous prime is 111022021222009. The next prime is 111022021222039. The reversal of 111022021222020 is 20222120220111.

It is a happy number.

111022021222020 is a `hidden beast` number, since 1 + 1 + 10 + 220 + 212 + 220 + 2 + 0 = 666.

111022021222020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1056471511104 + 109965549710916 = 1027848^2 + 10486446^2 .

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 = 111022021221984 and 111022021222002.

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, 19258024 + ... + 24349856.

It is an arithmetic number, because the mean of its divisors is an integer number (2419881378915).

Almost surely, 2111022021222020 is an apocalyptic number.

111022021222020 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 111022021222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174231459281880).

111022021222020 is an abundant number, since it is smaller than the sum of its proper divisors (237440897341740).

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

111022021222020 is a wasteful number, since it uses less digits than its factorization.

111022021222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096054 (or 5096049 counting only the distinct ones).

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

Adding to 111022021222020 its reverse (20222120220111), we get a palindrome (131244141442131).

The spelling of 111022021222020 in words is "one hundred eleven trillion, twenty-two billion, twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 4177 5220 8354 12531 16708 20885 25062 37593 41770 50124 62655 75186 83540 121133 125310 150372 187965 242266 250620 363399 375930 484532 605665 726798 751860 1090197 1211330 1453596 1816995 2180394 2422660 3633990 4360788 5091833 5450985 7267980 10183666 10901970 15275499 20367332 21803940 25459165 30550998 45826497 50918330 61101996 76377495 91652994 101836660 147663157 152754990 183305988 229132485 295326314 305509980 442989471 458264970 590652628 738315785 885978942 916529940 1328968413 1476631570 1771957884 2214947355 2657936826 2953263140 4429894710 5315873652 6644842065 8859789420 13289684130 21268586441 26579368260 42537172882 63805759323 85074345764 106342932205 127611518646 191417277969 212685864410 255223037292 319028796615 382834555938 425371728820 616789006789 638057593230 765669111876 957086389845 1233578013578 1276115186460 1850367020367 1914172779690 2467156027156 3083945033945 3700734040734 3828345559380 5551101061101 6167890067890 7401468081468 9251835101835 11102202122202 12335780135780 18503670203670 22204404244404 27755505305505 37007340407340 55511010611010 111022021222020