Base | Representation |
---|---|
bin | 1100010111011010101… |
… | …0011110000110100100 |
3 | 202022100121022200202212 |
4 | 3011312222132012210 |
5 | 11440041211223330 |
6 | 241332345222552 |
7 | 21230365156631 |
oct | 3056652360644 |
9 | 668317280685 |
10 | 212444242340 |
11 | 82108266700 |
12 | 3520b191a58 |
13 | 17058515a95 |
14 | a3d4add188 |
15 | 57d5be7295 |
hex | 3176a9e1a4 |
212444242340 has 144 divisors (see below), whose sum is σ = 496303319232. Its totient is φ = 76322400000.
The previous prime is 212444242321. The next prime is 212444242349. The reversal of 212444242340 is 43242444212.
212444242340 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 2×2124442423402 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 212444242297 and 212444242306.
It is not an unprimeable number, because it can be changed into a prime (212444242349) 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 47 ways as a sum of consecutive naturals, for example, 202134815 + ... + 202135865.
It is an arithmetic number, because the mean of its divisors is an integer number (3446550828).
Almost surely, 2212444242340 is an apocalyptic number.
212444242340 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 212444242340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248151659616).
212444242340 is an abundant number, since it is smaller than the sum of its proper divisors (283859076892).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212444242340 is a wasteful number, since it uses less digits than its factorization.
212444242340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2010 (or 1997 counting only the distinct ones).
The product of its (nonzero) digits is 49152, while the sum is 32.
Adding to 212444242340 its reverse (43242444212), we get a palindrome (255686686552).
The spelling of 212444242340 in words is "two hundred twelve billion, four hundred forty-four million, two hundred forty-two thousand, three hundred forty".
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