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220211121101220 = 223251223395117229
BaseRepresentation
bin110010000100011111100101…
…101001100001100110100100
31001212200222101122200201121100
4302010133211221201212210
5212330414334000214340
62100203331545320100
764245504603155154
oct6204374551414644
91055628348621540
10220211121101220
1164191014a73527
1220846482a96030
1395b4a8690a642
143c543bcd58764
151a6d2e38aa830
hexc847e5a619a4

220211121101220 has 36 divisors (see below), whose sum is σ = 667973734007580. Its totient is φ = 58722965626944.

The previous prime is 220211121101203. The next prime is 220211121101233. The reversal of 220211121101220 is 22101121112022.

220211121101220 is a `hidden beast` number, since 2 + 20 + 211 + 1 + 211 + 0 + 1 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47353418229924 + 172857702871296 = 6881382^2 + 13147536^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 220211121101193 and 220211121101202.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 611697558435 + ... + 611697558794.

It is an arithmetic number, because the mean of its divisors is an integer number (18554825944655).

Almost surely, 2220211121101220 is an apocalyptic number.

220211121101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220211121101220 is an abundant number, since it is smaller than the sum of its proper divisors (447762612906360).

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

220211121101220 is a wasteful number, since it uses less digits than its factorization.

220211121101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223395117244 (or 1223395117239 counting only the distinct ones).

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

Adding to 220211121101220 its reverse (22101121112022), we get a palindrome (242312242213242).

The spelling of 220211121101220 in words is "two hundred twenty trillion, two hundred eleven billion, one hundred twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1223395117229 2446790234458 3670185351687 4893580468916 6116975586145 7340370703374 11010556055061 12233951172290 14680741406748 18350926758435 22021112110122 24467902344580 36701853516870 44042224220244 55052780275305 73403707033740 110105560550610 220211121101220