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112211220112020 = 223351013320507111
BaseRepresentation
bin11001100000111000110101…
…111010100010001010010100
3112201022021202212022001202000
4121200320311322202022110
5104201432034322041040
61034353042312515300
732430664432405521
oct3140706572421224
9481267685261660
10112211220112020
113283256945a427
12107033526abb30
134a7c61b558a23
141d9d0a2abc148
15ce8d10bd2130
hex660e35ea2294

112211220112020 has 96 divisors (see below), whose sum is σ = 349136042653440. Its totient is φ = 29920037546880.

The previous prime is 112211220111973. The next prime is 112211220112021. The reversal of 112211220112020 is 20211022112211.

112211220112020 is a `hidden beast` number, since 11 + 221 + 1 + 220 + 11 + 202 + 0 = 666.

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 = 112211220111984 and 112211220112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211220112021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4781736 + ... + 15725375.

It is an arithmetic number, because the mean of its divisors is an integer number (3636833777640).

Almost surely, 2112211220112020 is an apocalyptic number.

112211220112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211220112020 is an abundant number, since it is smaller than the sum of its proper divisors (236924822541420).

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

112211220112020 is a wasteful number, since it uses less digits than its factorization.

112211220112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20517262 (or 20517254 counting only the distinct ones).

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

Adding to 112211220112020 its reverse (20211022112211), we get a palindrome (132422242224231).

The spelling of 112211220112020 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred twenty million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 10133 20266 30399 40532 50665 60798 91197 101330 121596 151995 182394 202660 273591 303990 364788 455985 547182 607980 911970 1094364 1367955 1823940 2735910 5471820 20507111 41014222 61521333 82028444 102535555 123042666 184563999 205071110 246085332 307606665 369127998 410142220 553691997 615213330 738255996 922819995 1107383994 1230426660 1845639990 2214767988 2768459985 3691279980 5536919970 11073839940 207798555763 415597111526 623395667289 831194223052 1038992778815 1246791334578 1870187001867 2077985557630 2493582669156 3116978336445 3740374003734 4155971115260 5610561005601 6233956672890 7480748007468 9350935009335 11221122011202 12467913345780 18701870018670 22442244022404 28052805028005 37403740037340 56105610056010 112211220112020