Base | Representation |
---|---|
bin | 100111011010… |
… | …000000000000 |
3 | 201102211020202 |
4 | 213122000000 |
5 | 10121030422 |
6 | 1005224332 |
7 | 153542642 |
oct | 47320000 |
9 | 21384222 |
10 | 10330112 |
11 | 5916191 |
12 | 35620a8 |
13 | 21a8bc0 |
14 | 152c892 |
15 | d90b92 |
hex | 9da000 |
10330112 has 56 divisors (see below), whose sum is σ = 22477476. Its totient is φ = 4718592.
The previous prime is 10330093. The next prime is 10330123. The reversal of 10330112 is 21103301.
It can be written as a sum of positive squares in 2 ways, for example, as 9834496 + 495616 = 3136^2 + 704^2 .
It is a super-2 number, since 2×103301122 = 213422427865088, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10330093 and 10330102.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106448 + ... + 106544.
Almost surely, 210330112 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 10330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238738).
10330112 is an abundant number, since it is smaller than the sum of its proper divisors (12147364).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10330112 is an frugal number, since it uses more digits than its factorization.
10330112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 136 (or 112 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 11.
The square root of 10330112 is about 3214.0491595494. The cubic root of 10330112 is about 217.7885332587.
Adding to 10330112 its reverse (21103301), we get a palindrome (31433413).
The spelling of 10330112 in words is "ten million, three hundred thirty thousand, one hundred twelve".
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