Search a number
-
+
111201222112020 = 223253760293276929
BaseRepresentation
bin11001010010001100001101…
…010101111011001100010100
3112120201201210100212121121200
4121102030031111323030110
5104033410100330041040
61032301045230312500
732265010643144445
oct3122141525731424
9476651710777550
10111201222112020
113248319a966117
121057b660358730
134a082cbb23171
141d6624c8b32cc
15ccc8eb855630
hex65230d57b314

111201222112020 has 144 divisors (see below), whose sum is σ = 346433867030160. Its totient is φ = 28851626262528.

The previous prime is 111201222111949. The next prime is 111201222112021. The reversal of 111201222112020 is 20211222102111.

111201222112020 is a `hidden beast` number, since 11 + 120 + 122 + 211 + 202 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3513240404496 + 107687981707524 = 1874364^2 + 10377282^2 .

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 = 111201222111984 and 111201222112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111201222112021) 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, 401412916 + ... + 401689844.

It is an arithmetic number, because the mean of its divisors is an integer number (2405790743265).

Almost surely, 2111201222112020 is an apocalyptic number.

111201222112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111201222112020 is an abundant number, since it is smaller than the sum of its proper divisors (235232644918140).

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

111201222112020 is a wasteful number, since it uses less digits than its factorization.

111201222112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337274 (or 337269 counting only the distinct ones).

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

Adding to 111201222112020 its reverse (20211222102111), we get a palindrome (131412444214131).

Subtracting from 111201222112020 its reverse (20211222102111), we obtain a palindrome (90990000009909).

The spelling of 111201222112020 in words is "one hundred eleven trillion, two hundred one billion, two hundred twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 60293 120586 180879 241172 276929 301465 361758 542637 553858 602930 723516 830787 904395 1085274 1107716 1205860 1384645 1661574 1808790 2170548 2230841 2492361 2713185 2769290 3323148 3617580 4153935 4461682 4984722 5426370 5538580 6692523 8307870 8923364 9969444 10246373 10852740 11154205 12461805 13385046 16615740 20077569 20492746 22308410 24923610 26770092 30739119 33462615 40155138 40985492 44616820 49847220 51231865 61478238 66925230 80310276 92217357 100387845 102463730 122956476 133850460 153695595 184434714 200775690 204927460 307391190 368869428 401551380 461086785 614782380 922173570 1844347140 16696880197 33393760394 50090640591 66787520788 83484400985 100181281182 150271921773 166968801970 200362562364 250453202955 300543843546 333937603940 500906405910 601087687092 617784567289 751359608865 1001812811820 1235569134578 1502719217730 1853353701867 2471138269156 3005438435460 3088922836445 3706707403734 5560061105601 6177845672890 7413414807468 9266768509335 11120122211202 12355691345780 18533537018670 22240244422404 27800305528005 37067074037340 55600611056010 111201222112020