Base | Representation |
---|---|
bin | 111111011110101… |
… | …0110010010110000 |
3 | 12111102222210012212 |
4 | 1332331112102300 |
5 | 13330240330222 |
6 | 551205311252 |
7 | 103532540342 |
oct | 17675262260 |
9 | 5442883185 |
10 | 2130011312 |
11 | 9a3377030 |
12 | 4b5405528 |
13 | 27c398030 |
14 | 162c5d292 |
15 | c6ee46e2 |
hex | 7ef564b0 |
2130011312 has 80 divisors (see below), whose sum is σ = 4859584800. Its totient is φ = 891648000.
The previous prime is 2130011309. The next prime is 2130011327. The reversal of 2130011312 is 2131100312.
It is a super-2 number, since 2×21300113122 = 9073896378495922688, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1374314 + ... + 1375862.
It is an arithmetic number, because the mean of its divisors is an integer number (60744810).
Almost surely, 22130011312 is an apocalyptic number.
2130011312 is a gapful number since it is divisible by the number (22) 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 2130011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429792400).
2130011312 is an abundant number, since it is smaller than the sum of its proper divisors (2729573488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130011312 is a wasteful number, since it uses less digits than its factorization.
2130011312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2182 (or 2176 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 14.
The square root of 2130011312 is about 46152.0455884677. The cubic root of 2130011312 is about 1286.6506289296.
Adding to 2130011312 its reverse (2131100312), we get a palindrome (4261111624).
The spelling of 2130011312 in words is "two billion, one hundred thirty million, eleven thousand, three hundred twelve".
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