Base | Representation |
---|---|
bin | 10100100110100001… |
… | …101110100011011010 |
3 | 2010002122222000020200 |
4 | 110212201232203122 |
5 | 330301012241442 |
6 | 14055022203030 |
7 | 1412120125542 |
oct | 244641564332 |
9 | 63078860220 |
10 | 22121212122 |
11 | 9421936099 |
12 | 4354423476 |
13 | 2116cb1839 |
14 | 10dbcd4322 |
15 | 8970c334c |
hex | 52686e8da |
22121212122 has 48 divisors (see below), whose sum is σ = 49711933440. Its totient is φ = 7100817696.
The previous prime is 22121212121. The next prime is 22121212153.
It is a happy number.
22121212122 is nontrivially palindromic in base 10.
22121212122 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 22121212095 and 22121212104.
It is not an unprimeable number, because it can be changed into a prime (22121212121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144603 + ... + 255249.
It is an arithmetic number, because the mean of its divisors is an integer number (1035665280).
Almost surely, 222121212122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22121212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24855966720).
22121212122 is an abundant number, since it is smaller than the sum of its proper divisors (27590721318).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22121212122 is a wasteful number, since it uses less digits than its factorization.
22121212122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 111067 (or 111064 counting only the distinct ones).
The product of its digits is 128, while the sum is 18.
The spelling of 22121212122 in words is "twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twenty-two".
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