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220211110123020 = 2232510112112822339
BaseRepresentation
bin110010000100011111100100…
…111111101001011000001100
31001212200222100220000222100100
4302010133210333221120030
5212330414323142414040
62100203330514131100
764245504410642562
oct6204374477513014
91055628326028310
10220211110123020
1164191009855435
122084647b280a90
1395b4a84565773
143c543bb6dba32
151a6d2e293cb30
hexc847e4fe960c

220211110123020 has 72 divisors (see below), whose sum is σ = 674587301759280. Its totient is φ = 58141547222400.

The previous prime is 220211110123001. The next prime is 220211110123021. The reversal of 220211110123020 is 20321011112022.

220211110123020 is a `hidden beast` number, since 2 + 202 + 111 + 101 + 230 + 20 = 666.

220211110123020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2202111101230202 (a number of 29 digits) contains 22 as substring.

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 = 220211110122984 and 220211110123002.

It is not an unprimeable number, because it can be changed into a prime (220211110123021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6056392990 + ... + 6056429349.

It is an arithmetic number, because the mean of its divisors is an integer number (9369268079990).

Almost surely, 2220211110123020 is an apocalyptic number.

220211110123020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220211110123020 is an abundant number, since it is smaller than the sum of its proper divisors (454376191636260).

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

220211110123020 is a wasteful number, since it uses less digits than its factorization.

220211110123020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12112822455 (or 12112822450 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 220211110123020 its reverse (20321011112022), we get a palindrome (240532121235042).

The spelling of 220211110123020 in words is "two hundred twenty trillion, two hundred eleven billion, one hundred ten million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 12112822339 24225644678 36338467017 48451289356 60564111695 72676934034 109015401051 121128223390 145353868068 181692335085 218030802102 242256446780 363384670170 436061604204 545077005255 726769340340 1090154010510 1223395056239 2180308021020 2446790112478 3670185168717 4893580224956 6116975281195 7340370337434 11010555506151 12233950562390 14680740674868 18350925843585 22021111012302 24467901124780 36701851687170 44042222024604 55052777530755 73403703374340 110105555061510 220211110123020