Base | Representation |
---|---|
bin | 1100010010110111000… |
… | …0111110101101100000 |
3 | 202012012100222022112212 |
4 | 3010231300332231200 |
5 | 11430040112241000 |
6 | 241011135341252 |
7 | 21155154451541 |
oct | 3045560765540 |
9 | 665170868485 |
10 | 211221212000 |
11 | 8163a95a927 |
12 | 34b29681828 |
13 | 16bc2019aa6 |
14 | a31a4d64c8 |
15 | 576365cc35 |
hex | 312dc3eb60 |
211221212000 has 48 divisors (see below), whose sum is σ = 518970527712. Its totient is φ = 84488483200.
The previous prime is 211221211997. The next prime is 211221212003. The reversal of 211221212000 is 212122112.
211221212000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (211221211997) and next prime (211221212003).
It is a super-2 number, since 2×2112212120002 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211221212003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26398652 + ... + 26406651.
It is an arithmetic number, because the mean of its divisors is an integer number (10811885994).
Almost surely, 2211221212000 is an apocalyptic number.
211221212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
211221212000 is an abundant number, since it is smaller than the sum of its proper divisors (307749315712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211221212000 is an equidigital number, since it uses as much as digits as its factorization.
211221212000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52805328 (or 52805310 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 211221212000 its reverse (212122112), we get a palindrome (211433334112).
It can be divided in two parts, 2112212 and 12000, that added together give a palindrome (2124212).
The spelling of 211221212000 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred twelve thousand".
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