| Base | Representation |
|---|---|
| bin | 111111100100011… |
| … | …0011001011010000 |
| 3 | 12111122122022000220 |
| 4 | 1333020303023100 |
| 5 | 13332022410300 |
| 6 | 551353513040 |
| 7 | 103600212243 |
| oct | 17710631320 |
| 9 | 5448568026 |
| 10 | 2133013200 |
| 11 | 9a503742a |
| 12 | 4b6412780 |
| 13 | 27cba94b6 |
| 14 | 16340125a |
| 15 | c73d8da0 |
| hex | 7f2332d0 |
2133013200 has 120 divisors (see below), whose sum is σ = 6850008000. Its totient is φ = 567367680.
The previous prime is 2133013189. The next prime is 2133013213. The reversal of 2133013200 is 23103312.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×21330132002 = 9099490622748480000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2133013200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524776 + ... + 528824.
It is an arithmetic number, because the mean of its divisors is an integer number (57083400).
Almost surely, 22133013200 is an apocalyptic number.
2133013200 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 2133013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425004000).
2133013200 is an abundant number, since it is smaller than the sum of its proper divisors (4716994800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2133013200 is a wasteful number, since it uses less digits than its factorization.
2133013200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4509 (or 4498 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 2133013200 is about 46184.5558601574. Note that the first 3 decimals coincide. The cubic root of 2133013200 is about 1287.2547834748.
Adding to 2133013200 its reverse (23103312), we get a palindrome (2156116512).
The spelling of 2133013200 in words is "two billion, one hundred thirty-three million, thirteen thousand, two hundred".
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