Base | Representation |
---|---|
bin | 10010101100001100… |
… | …10111001101110010 |
3 | 221220022120112012120 |
4 | 21112012113031302 |
5 | 131022304134442 |
6 | 4335412535110 |
7 | 503443234134 |
oct | 112606271562 |
9 | 27808515176 |
10 | 10034443122 |
11 | 428a1aa700 |
12 | 1b40621496 |
13 | c3bb89912 |
14 | 6b296b054 |
15 | 3dae134ec |
hex | 256197372 |
10034443122 has 96 divisors (see below), whose sum is σ = 22402783872. Its totient is φ = 2993760000.
The previous prime is 10034443117. The next prime is 10034443123. The reversal of 10034443122 is 22134443001.
10034443122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 10034443092 and 10034443101.
It is not an unprimeable number, because it can be changed into a prime (10034443123) 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 47 ways as a sum of consecutive naturals, for example, 20604363 + ... + 20604849.
It is an arithmetic number, because the mean of its divisors is an integer number (233362332).
Almost surely, 210034443122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10034443122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11201391936).
10034443122 is an abundant number, since it is smaller than the sum of its proper divisors (12368340750).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10034443122 is a wasteful number, since it uses less digits than its factorization.
10034443122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 896 (or 885 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 10034443122 its reverse (22134443001), we get a palindrome (32168886123).
The spelling of 10034443122 in words is "ten billion, thirty-four million, four hundred forty-three thousand, one hundred twenty-two".
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