Base | Representation |
---|---|
bin | 111011111100000… |
… | …1010100100000000 |
3 | 12012011110011020112 |
4 | 1313320022210000 |
5 | 13104332241112 |
6 | 531323130452 |
7 | 100561006634 |
oct | 16770124400 |
9 | 5164404215 |
10 | 2011212032 |
11 | 942305405 |
12 | 481673a28 |
13 | 2608a17bb |
14 | 151176dc4 |
15 | bb879a22 |
hex | 77e0a900 |
2011212032 has 72 divisors (see below), whose sum is σ = 4160623320. Its totient is φ = 969605120.
The previous prime is 2011211999. The next prime is 2011212053. The reversal of 2011212032 is 2302121102.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 187580416 + 1823631616 = 13696^2 + 42704^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2011211998 and 2011212016.
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 7 ways as a sum of consecutive naturals, for example, 933068 + ... + 935220.
It is an arithmetic number, because the mean of its divisors is an integer number (57786435).
Almost surely, 22011212032 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 2011212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080311660).
2011212032 is an abundant number, since it is smaller than the sum of its proper divisors (2149411288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2011212032 is an equidigital number, since it uses as much as digits as its factorization.
2011212032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2299 (or 2285 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 14.
The square root of 2011212032 is about 44846.5386847190. The cubic root of 2011212032 is about 1262.2710431718.
Adding to 2011212032 its reverse (2302121102), we get a palindrome (4313333134).
The spelling of 2011212032 in words is "two billion, eleven million, two hundred twelve thousand, thirty-two".
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