Base | Representation |
---|---|
bin | 1011111100101… |
… | …00000100011100 |
3 | 20222120202122202 |
4 | 11332110010130 |
5 | 201124034322 |
6 | 13540031032 |
7 | 2324603060 |
oct | 576240434 |
9 | 228522582 |
10 | 100221212 |
11 | 51632753 |
12 | 29692478 |
13 | 179c03c0 |
14 | d44baa0 |
15 | 8bea292 |
hex | 5f9411c |
100221212 has 48 divisors (see below), whose sum is σ = 225265152. Its totient is φ = 37920960.
The previous prime is 100221211. The next prime is 100221221. The reversal of 100221212 is 212122001.
It is a happy number.
100221212 is nontrivially palindromic in base 3.
It is a junction number, because it is equal to n+sod(n) for n = 100221193 and 100221202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100221211) by changing a digit.
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, 2387 + ... + 14357.
It is an arithmetic number, because the mean of its divisors is an integer number (4693024).
Almost surely, 2100221212 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100221212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112632576).
100221212 is an abundant number, since it is smaller than the sum of its proper divisors (125043940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100221212 is a wasteful number, since it uses less digits than its factorization.
100221212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12018 (or 12016 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 11.
The square root of 100221212 is about 10011.0544899126. The cubic root of 100221212 is about 464.5008896818.
Adding to 100221212 its reverse (212122001), we get a palindrome (312343213).
The spelling of 100221212 in words is "one hundred million, two hundred twenty-one thousand, two hundred twelve".
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