| Base | Representation |
|---|---|
| bin | 1100010011000011… |
| … | …0100101100101100 |
| 3 | 22112001122221021220 |
| 4 | 3010300310230230 |
| 5 | 23230042224400 |
| 6 | 1303322423340 |
| 7 | 144543111516 |
| oct | 30460645454 |
| 9 | 8461587256 |
| 10 | 3301133100 |
| 11 | 1444449181 |
| 12 | 781661b50 |
| 13 | 407bbacc5 |
| 14 | 2345d2bb6 |
| 15 | 144c287a0 |
| hex | c4c34b2c |
3301133100 has 144 divisors (see below), whose sum is σ = 10218908448. Its totient is φ = 819855360.
The previous prime is 3301133089. The next prime is 3301133107. The reversal of 3301133100 is 13311033.
It is a super-3 number, since 3×33011331003 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 3301133100.
It is not an unprimeable number, because it can be changed into a prime (3301133107) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491364 + ... + 498036.
It is an arithmetic number, because the mean of its divisors is an integer number (70964642).
Almost surely, 23301133100 is an apocalyptic number.
3301133100 is a gapful number since it is divisible by the number (30) 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 3301133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109454224).
3301133100 is an abundant number, since it is smaller than the sum of its proper divisors (6917775348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3301133100 is a wasteful number, since it uses less digits than its factorization.
3301133100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6804 (or 6797 counting only the distinct ones).
The product of its (nonzero) digits is 81, while the sum is 15.
The square root of 3301133100 is about 57455.4879885290. The cubic root of 3301133100 is about 1488.9759340173.
Adding to 3301133100 its reverse (13311033), we get a palindrome (3314444133).
The spelling of 3301133100 in words is "three billion, three hundred one million, one hundred thirty-three thousand, one hundred".
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