| Base | Representation |
|---|---|
| bin | 111110101111100… |
| … | …1101100011110000 |
| 3 | 12102201120001022100 |
| 4 | 1331133031203300 |
| 5 | 13302431142000 |
| 6 | 544524340400 |
| 7 | 103113021000 |
| oct | 17537154360 |
| 9 | 5381501270 |
| 10 | 2105334000 |
| 11 | 990451660 |
| 12 | 4a90a4700 |
| 13 | 277237983 |
| 14 | 15d878000 |
| 15 | c4c6ca00 |
| hex | 7d7cd8f0 |
2105334000 has 960 divisors, whose sum is σ = 9656524800. Its totient is φ = 423360000.
The previous prime is 2105333987. The next prime is 2105334013. The reversal of 2105334000 is 4335012.
2105334000 is a `hidden beast` number, since 210 + 53 + 3 + 400 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2105333987) and next prime (2105334013).
It is a Harshad number since it is a multiple of its sum of digits (18).
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 191 ways as a sum of consecutive naturals, for example, 67913985 + ... + 67914015.
It is an arithmetic number, because the mean of its divisors is an integer number (10058880).
Almost surely, 22105334000 is an apocalyptic number.
2105334000 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 2105334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828262400).
2105334000 is an abundant number, since it is smaller than the sum of its proper divisors (7551190800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2105334000 is a wasteful number, since it uses less digits than its factorization.
2105334000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 92 (or 59 counting only the distinct ones).
The product of its (nonzero) digits is 360, while the sum is 18.
The square root of 2105334000 is about 45883.9187515626. The cubic root of 2105334000 is about 1281.6624719976.
Adding to 2105334000 its reverse (4335012), we get a palindrome (2109669012).
The spelling of 2105334000 in words is "two billion, one hundred five million, three hundred thirty-four thousand".
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