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221120012102220 = 223557111793301019
BaseRepresentation
bin110010010001101110000011…
…110001100010101001001100
31001222220212101211110110100000
4302101232003301202221030
5212440312241044232340
62102141044202004300
764401252014204340
oct6221560361425114
91058825354413300
10221120012102220
116450151a276a30
12209726587a6690
13964c6b23a218a
143c863a10a1620
151a86c8b732d30
hexc91b83c62a4c

221120012102220 has 576 divisors, whose sum is σ = 872052372172800. Its totient is φ = 45690314423040.

The previous prime is 221120012102189. The next prime is 221120012102221. The reversal of 221120012102220 is 22201210021122.

It is a happy number.

221120012102220 is a `hidden beast` number, since 2 + 211 + 20 + 0 + 1 + 210 + 2 + 220 = 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 = 221120012102193 and 221120012102202.

It is not an unprimeable number, because it can be changed into a prime (221120012102221) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65334871 + ... + 68635889.

It is an arithmetic number, because the mean of its divisors is an integer number (1513979812800).

Almost surely, 2221120012102220 is an apocalyptic number.

221120012102220 is a gapful number since it is divisible by the number (20) 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 221120012102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436026186086400).

221120012102220 is an abundant number, since it is smaller than the sum of its proper divisors (650932360070580).

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

221120012102220 is a wasteful number, since it uses less digits than its factorization.

221120012102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301240 (or 3301226 counting only the distinct ones).

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

Adding to 221120012102220 its reverse (22201210021122), we get a palindrome (243321222123342).

The spelling of 221120012102220 in words is "two hundred twenty-one trillion, one hundred twenty billion, twelve million, one hundred two thousand, two hundred twenty".