Base | Representation |
---|---|
bin | 111011111001110… |
… | …0010101111001010 |
3 | 12012002011121002200 |
4 | 1313303202233022 |
5 | 13104030002310 |
6 | 531241141030 |
7 | 100544502162 |
oct | 16763425712 |
9 | 5162147080 |
10 | 2010000330 |
11 | 941657aa8 |
12 | 48118a776 |
13 | 260569110 |
14 | 150d3d5a2 |
15 | bb6da9c0 |
hex | 77ce2bca |
2010000330 has 96 divisors (see below), whose sum is σ = 5679994320. Its totient is φ = 490199040.
The previous prime is 2010000313. The next prime is 2010000331. The reversal of 2010000330 is 330000102.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 812079009 + 1197921321 = 28497^2 + 34611^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (2010000331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119650 + ... + 135410.
Almost surely, 22010000330 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2010000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839997160).
2010000330 is an abundant number, since it is smaller than the sum of its proper divisors (3669993990).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2010000330 is a wasteful number, since it uses less digits than its factorization.
2010000330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15896 (or 15893 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 9.
The square root of 2010000330 is about 44833.0272232425. The cubic root of 2010000330 is about 1262.0174972856.
Adding to 2010000330 its reverse (330000102), we get a palindrome (2340000432).
The spelling of 2010000330 in words is "two billion, ten million, three hundred thirty", and thus it is an aban number.
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