Base | Representation |
---|---|
bin | 10011001101100100… |
… | …11011011000110010 |
3 | 222121211102100000000 |
4 | 21212302123120302 |
5 | 132110443230002 |
6 | 4423254010430 |
7 | 513413131332 |
oct | 114662333062 |
9 | 28554370000 |
10 | 10314430002 |
11 | 4413254a18 |
12 | 1bba346a16 |
13 | c84b9b326 |
14 | 6dbc110c2 |
15 | 4057bc61c |
hex | 266c9b632 |
10314430002 has 72 divisors (see below), whose sum is σ = 23535263232. Its totient is φ = 3389412600.
The previous prime is 10314430001. The next prime is 10314430031. The reversal of 10314430002 is 20003441301.
10314430002 is digitally balanced in base 2, 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 not an unprimeable number, because it can be changed into a prime (10314430001) 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 35 ways as a sum of consecutive naturals, for example, 926127 + ... + 937197.
It is an arithmetic number, because the mean of its divisors is an integer number (326878656).
Almost surely, 210314430002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10314430002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11767631616).
10314430002 is an abundant number, since it is smaller than the sum of its proper divisors (13220833230).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10314430002 is an frugal number, since it uses more digits than its factorization.
10314430002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11168 (or 11147 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 10314430002 its reverse (20003441301), we get a palindrome (30317871303).
The spelling of 10314430002 in words is "ten billion, three hundred fourteen million, four hundred thirty thousand, two".
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