Base | Representation |
---|---|
bin | 111011111011101… |
… | …0110110100111010 |
3 | 12012011001101120000 |
4 | 1313313112310322 |
5 | 13104304000442 |
6 | 531314413430 |
7 | 100556135055 |
oct | 16767266472 |
9 | 5164041500 |
10 | 2011000122 |
11 | 94218017a |
12 | 481591276 |
13 | 260829201 |
14 | 15111da9c |
15 | bb836d4c |
hex | 77dd6d3a |
2011000122 has 40 divisors (see below), whose sum is σ = 4519168500. Its totient is φ = 668393856.
The previous prime is 2011000097. The next prime is 2011000127. The reversal of 2011000122 is 2210001102.
It can be written as a sum of positive squares in 2 ways, for example, as 1654130241 + 356869881 = 40671^2 + 18891^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (2011000127) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 38754 + ... + 74322.
Almost surely, 22011000122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2011000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259584250).
2011000122 is an abundant number, since it is smaller than the sum of its proper divisors (2508168378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2011000122 is a wasteful number, since it uses less digits than its factorization.
2011000122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35932 (or 35923 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 2011000122 is about 44844.1760098232. The cubic root of 2011000122 is about 1262.2267088355.
Adding to 2011000122 its reverse (2210001102), we get a palindrome (4221001224).
The spelling of 2011000122 in words is "two billion, eleven million, one hundred twenty-two", and thus it is an aban number.
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