Base | Representation |
---|---|
bin | 1100100010111… |
… | …10011000110100 |
3 | 21100000221220210 |
4 | 12101132120310 |
5 | 203420303322 |
6 | 14235425420 |
7 | 2415363303 |
oct | 621363064 |
9 | 240027823 |
10 | 105244212 |
11 | 54453597 |
12 | 2b2b5270 |
13 | 18a5b7a8 |
14 | dd9843a |
15 | 938d70c |
hex | 645e634 |
105244212 has 48 divisors (see below), whose sum is σ = 266378112. Its totient is φ = 32209920.
The previous prime is 105244207. The next prime is 105244231. The reversal of 105244212 is 212442501.
It is a super-3 number, since 3×1052442123 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2073 + ... + 14655.
It is an arithmetic number, because the mean of its divisors is an integer number (5549544).
Almost surely, 2105244212 is an apocalyptic number.
105244212 is a gapful number since it is divisible by the number (12) 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 105244212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133189056).
105244212 is an abundant number, since it is smaller than the sum of its proper divisors (161133900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105244212 is a wasteful number, since it uses less digits than its factorization.
105244212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12648 (or 12646 counting only the distinct ones).
The product of its (nonzero) digits is 640, while the sum is 21.
The square root of 105244212 is about 10258.8601706037. The cubic root of 105244212 is about 472.1348664207.
Adding to 105244212 its reverse (212442501), we get a palindrome (317686713).
The spelling of 105244212 in words is "one hundred five million, two hundred forty-four thousand, two hundred twelve".
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