| Base | Representation |
|---|---|
| bin | 111110100111111… |
| … | …1111011100000000 |
| 3 | 12102110001100001120 |
| 4 | 1331033333130000 |
| 5 | 13300421002000 |
| 6 | 544303032240 |
| 7 | 103034062230 |
| oct | 17517773400 |
| 9 | 5373040046 |
| 10 | 2101344000 |
| 11 | 989176938 |
| 12 | 4a789b680 |
| 13 | 27646b822 |
| 14 | 15d119cc0 |
| 15 | c47306a0 |
| hex | 7d3ff700 |
2101344000 has 576 divisors, whose sum is σ = 8264954880. Its totient is φ = 463257600.
The previous prime is 2101343977. The next prime is 2101344001. The reversal of 2101344000 is 4431012.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2101344001) 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 63 ways as a sum of consecutive naturals, for example, 35615971 + ... + 35616029.
It is an arithmetic number, because the mean of its divisors is an integer number (14348880).
Almost surely, 22101344000 is an apocalyptic number.
2101344000 is a gapful number since it is divisible by the number (20) 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 2101344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132477440).
2101344000 is an abundant number, since it is smaller than the sum of its proper divisors (6163610880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2101344000 is an equidigital number, since it uses as much as digits as its factorization.
2101344000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 153 (or 129 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 2101344000 is about 45840.4188462540. The cubic root of 2101344000 is about 1280.8522969495.
Adding to 2101344000 its reverse (4431012), we get a palindrome (2105775012).
It can be divided in two parts, 210 and 1344000, that multiplied together give a square (282240000 = 168002).
The spelling of 2101344000 in words is "two billion, one hundred one million, three hundred forty-four thousand".
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