| Base | Representation |
|---|---|
| bin | 111011101100101… |
| … | …0011101110110100 |
| 3 | 12011121020012100100 |
| 4 | 1313121103232310 |
| 5 | 13100244414444 |
| 6 | 530433514100 |
| 7 | 100432160052 |
| oct | 16731235664 |
| 9 | 5147205310 |
| 10 | 2003123124 |
| 11 | 938790062 |
| 12 | 47aa12930 |
| 13 | 25bccba72 |
| 14 | 15006d1d2 |
| 15 | baccce69 |
| hex | 77653bb4 |
2003123124 has 72 divisors (see below), whose sum is σ = 5449291848. Its totient is φ = 618117120.
The previous prime is 2003123123. The next prime is 2003123147. The reversal of 2003123124 is 4213213002.
It can be written as a sum of positive squares in 4 ways, for example, as 266734224 + 1736388900 = 16332^2 + 41670^2 .
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 = 2003123097 and 2003123106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2003123123) by changing a digit.
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, 10504 + ... + 64160.
It is an arithmetic number, because the mean of its divisors is an integer number (75684609).
Almost surely, 22003123124 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 2003123124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724645924).
2003123124 is an abundant number, since it is smaller than the sum of its proper divisors (3446168724).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2003123124 is a wasteful number, since it uses less digits than its factorization.
2003123124 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 53745 (or 53740 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2003123124 is about 44756.2635169649. The cubic root of 2003123124 is about 1260.5765237703.
Adding to 2003123124 its reverse (4213213002), we get a palindrome (6216336126).
The spelling of 2003123124 in words is "two billion, three million, one hundred twenty-three thousand, one hundred twenty-four".
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