| Base | Representation |
|---|---|
| bin | 10010101010000111… |
| … | …10110011001111000 |
| 3 | 221212002202200122120 |
| 4 | 21111003312121320 |
| 5 | 131003323212344 |
| 6 | 4333551121240 |
| 7 | 503142104460 |
| oct | 112503663170 |
| 9 | 27762680576 |
| 10 | 10017007224 |
| 11 | 4280380874 |
| 12 | 1b36813220 |
| 13 | c38393613 |
| 14 | 6b050cba0 |
| 15 | 3d961c219 |
| hex | 2550f6678 |
10017007224 has 128 divisors (see below), whose sum is σ = 29001646080. Its totient is φ = 2824099200.
The previous prime is 10017007201. The next prime is 10017007267. The reversal of 10017007224 is 42270071001.
10017007224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Cunningham number, because it is equal to 1000852-1.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 10017007194 and 10017007203.
It is a congruent number.
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 31 ways as a sum of consecutive naturals, for example, 4202337 + ... + 4204719.
It is an arithmetic number, because the mean of its divisors is an integer number (226575360).
Almost surely, 210017007224 is an apocalyptic number.
10017007224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10017007224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500823040).
10017007224 is an abundant number, since it is smaller than the sum of its proper divisors (18984638856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10017007224 is a wasteful number, since it uses less digits than its factorization.
10017007224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2721 (or 2717 counting only the distinct ones).
The product of its (nonzero) digits is 784, while the sum is 24.
Adding to 10017007224 its reverse (42270071001), we get a palindrome (52287078225).
The spelling of 10017007224 in words is "ten billion, seventeen million, seven thousand, two hundred twenty-four".
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