Base | Representation |
---|---|
bin | 110000001101010011111101… |
… | …101101010011001000001100 |
3 | 1000210201000022120112000020200 |
4 | 300031103331231103020030 |
5 | 210242223023130011340 |
6 | 2030533040220213500 |
7 | 62442004402323231 |
oct | 6015237555231014 |
9 | 1023630276460220 |
10 | 212021022110220 |
11 | 61613679671764 |
12 | 1b94311739a290 |
13 | 913c65c03532b |
14 | 3a4dc2d54d788 |
15 | 197a247828330 |
hex | c0d4fdb5320c |
212021022110220 has 144 divisors (see below), whose sum is σ = 671184040363200. Its totient is φ = 54073357797888.
The previous prime is 212021022110213. The next prime is 212021022110251. The reversal of 212021022110220 is 22011220120212.
It is a happy number.
212021022110220 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 210 + 221 + 10 + 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 = 212021022110193 and 212021022110202.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26940522 + ... + 33909198.
It is an arithmetic number, because the mean of its divisors is an integer number (4661000280300).
Almost surely, 2212021022110220 is an apocalyptic number.
212021022110220 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 212021022110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335592020181600).
212021022110220 is an abundant number, since it is smaller than the sum of its proper divisors (459163018252980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212021022110220 is a wasteful number, since it uses less digits than its factorization.
212021022110220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6976064 (or 6976059 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 212021022110220 its reverse (22011220120212), we get a palindrome (234032242230432).
The spelling of 212021022110220 in words is "two hundred twelve trillion, twenty-one billion, twenty-two million, one hundred ten thousand, two hundred twenty".
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