Base | Representation |
---|---|
bin | 1011001011011111… |
… | …1010010100000100 |
3 | 21202010220122202100 |
4 | 2302313322110010 |
5 | 22121224014340 |
6 | 1213441512100 |
7 | 134240042460 |
oct | 26267722404 |
9 | 7663818670 |
10 | 3001001220 |
11 | 12aaa946a8 |
12 | 6b9042630 |
13 | 38a975189 |
14 | 2067c74a0 |
15 | 1286e0830 |
hex | b2dfa504 |
3001001220 has 144 divisors (see below), whose sum is σ = 10421873280. Its totient is φ = 684730368.
The previous prime is 3001001219. The next prime is 3001001251. The reversal of 3001001220 is 221001003.
It is a happy number.
3001001220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846211 + ... + 849749.
It is an arithmetic number, because the mean of its divisors is an integer number (72374120).
Almost surely, 23001001220 is an apocalyptic number.
3001001220 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 3001001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210936640).
3001001220 is an abundant number, since it is smaller than the sum of its proper divisors (7420872060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3001001220 is a wasteful number, since it uses less digits than its factorization.
3001001220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4234 (or 4229 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 3001001220 is about 54781.3948343778. The cubic root of 3001001220 is about 1442.4099979189.
Adding to 3001001220 its reverse (221001003), we get a palindrome (3222002223).
The spelling of 3001001220 in words is "three billion, one million, one thousand, two hundred twenty".
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