| Base | Representation |
|---|---|
| bin | 111011100110111… |
| … | …0010111111010000 |
| 3 | 12011101112212211200 |
| 4 | 1313031302333100 |
| 5 | 13044011333144 |
| 6 | 530245111200 |
| 7 | 100364421102 |
| oct | 16715627720 |
| 9 | 5141485750 |
| 10 | 2000105424 |
| 11 | 937009899 |
| 12 | 4799b8500 |
| 13 | 25b4b3345 |
| 14 | 14d8c5572 |
| 15 | ba8d3c69 |
| hex | 77372fd0 |
2000105424 has 120 divisors (see below), whose sum is σ = 5707650312. Its totient is φ = 653721600.
The previous prime is 2000105407. The next prime is 2000105431. The reversal of 2000105424 is 4245010002.
It can be written as a sum of positive squares in 4 ways, for example, as 148352400 + 1851753024 = 12180^2 + 43032^2 .
It is a super-2 number, since 2×20001054242 = 8000843414228439552, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2000105397 and 2000105406.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1642864 + ... + 1644080.
Almost surely, 22000105424 is an apocalyptic number.
2000105424 is a gapful number since it is divisible by the number (24) 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 2000105424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853825156).
2000105424 is an abundant number, since it is smaller than the sum of its proper divisors (3707544888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000105424 is a wasteful number, since it uses less digits than its factorization.
2000105424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1445 (or 1436 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 2000105424 is about 44722.5382106159. The cubic root of 2000105424 is about 1259.9431871587.
Adding to 2000105424 its reverse (4245010002), we get a palindrome (6245115426).
The spelling of 2000105424 in words is "two billion, one hundred five thousand, four hundred twenty-four".
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