Base | Representation |
---|---|
bin | 1010000000010110101111… |
… | …1011100001110100111110 |
3 | 1102221201002002002022221100 |
4 | 2200011223323201310332 |
5 | 2420221000313342342 |
6 | 35221520331313530 |
7 | 2213545352131221 |
oct | 240055373416476 |
9 | 42851062068840 |
10 | 11001222012222 |
11 | 356165702a872 |
12 | 129813abab8a6 |
13 | 61a545654800 |
14 | 2a06679955b8 |
15 | 141278ae1e4c |
hex | a016bee1d3e |
11001222012222 has 144 divisors (see below), whose sum is σ = 26203482367920. Its totient is φ = 3333490288128.
The previous prime is 11001222012199. The next prime is 11001222012227. The reversal of 11001222012222 is 22221022210011.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 11001222012195 and 11001222012204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (11001222012227) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1010300554 + ... + 1010311442.
It is an arithmetic number, because the mean of its divisors is an integer number (181968627555).
Almost surely, 211001222012222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 11001222012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13101741183960).
11001222012222 is an abundant number, since it is smaller than the sum of its proper divisors (15202260355698).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11001222012222 is a wasteful number, since it uses less digits than its factorization.
11001222012222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15947 (or 15931 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 11001222012222 its reverse (22221022210011), we get a palindrome (33222244222233).
The spelling of 11001222012222 in words is "eleven trillion, one billion, two hundred twenty-two million, twelve thousand, two hundred twenty-two".
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