Base | Representation |
---|---|
bin | 10010101001011011… |
… | …10111011011000000 |
3 | 221211200220220022010 |
4 | 21110231313123000 |
5 | 131000334303344 |
6 | 4333223412520 |
7 | 503042112642 |
oct | 112455673300 |
9 | 27750826263 |
10 | 10011244224 |
11 | 42780a4a63 |
12 | 1b348b4140 |
13 | c37126467 |
14 | 6ad84c892 |
15 | 3d8d7e8b9 |
hex | 254b776c0 |
10011244224 has 112 divisors (see below), whose sum is σ = 27693591552. Its totient is φ = 3185774592.
The previous prime is 10011244171. The next prime is 10011244237. The reversal of 10011244224 is 42244211001.
10011244224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 10011244224.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 2616777 + ... + 2620599.
Almost surely, 210011244224 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 10011244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13846795776).
10011244224 is an abundant number, since it is smaller than the sum of its proper divisors (17682347328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10011244224 is a wasteful number, since it uses less digits than its factorization.
10011244224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4454 (or 4444 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 21.
Adding to 10011244224 its reverse (42244211001), we get a palindrome (52255455225).
The spelling of 10011244224 in words is "ten billion, eleven million, two hundred forty-four thousand, two hundred twenty-four".
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