Base | Representation |
---|---|
bin | 10011011100110100… |
… | …01110011100010010 |
3 | 222221202000222010020 |
4 | 21232122032130102 |
5 | 132341212201000 |
6 | 4444102444310 |
7 | 516525053541 |
oct | 115632163422 |
9 | 28852028106 |
10 | 10442303250 |
11 | 4479453a95 |
12 | 2035133696 |
13 | ca5520a82 |
14 | 710bba158 |
15 | 411b2aba0 |
hex | 26e68e712 |
10442303250 has 128 divisors (see below), whose sum is σ = 26730362880. Its totient is φ = 2714342400.
The previous prime is 10442303213. The next prime is 10442303257. The reversal of 10442303250 is 5230324401.
10442303250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-4 number, since 4×104423032504 (a number of 41 digits) contains 4444 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 10442303250.
It is not an unprimeable number, because it can be changed into a prime (10442303257) 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 63 ways as a sum of consecutive naturals, for example, 4871679 + ... + 4873821.
It is an arithmetic number, because the mean of its divisors is an integer number (208830960).
Almost surely, 210442303250 is an apocalyptic number.
10442303250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10442303250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13365181440).
10442303250 is an abundant number, since it is smaller than the sum of its proper divisors (16288059630).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10442303250 is a wasteful number, since it uses less digits than its factorization.
10442303250 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2325 (or 2315 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 24.
Adding to 10442303250 its reverse (5230324401), we get a palindrome (15672627651).
The spelling of 10442303250 in words is "ten billion, four hundred forty-two million, three hundred three thousand, two hundred fifty".
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