Base | Representation |
---|---|
bin | 111111011111000… |
… | …0110111000001000 |
3 | 12111110100220012020 |
4 | 1332332012320020 |
5 | 13330313212222 |
6 | 551213444440 |
7 | 103534326456 |
oct | 17676067010 |
9 | 5443326166 |
10 | 2130210312 |
11 | 9a34a259a |
12 | 4b54a0720 |
13 | 27c437799 |
14 | 162cb19d6 |
15 | c703365c |
hex | 7ef86e08 |
2130210312 has 64 divisors (see below), whose sum is σ = 5515776000. Its totient is φ = 684762624.
The previous prime is 2130210263. The next prime is 2130210323. The reversal of 2130210312 is 2130120312.
It is a super-2 number, since 2×21302103122 = 9075591946702274688, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2130210291 and 2130210300.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 888988 + ... + 891380.
It is an arithmetic number, because the mean of its divisors is an integer number (86184000).
Almost surely, 22130210312 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2130210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888000).
2130210312 is an abundant number, since it is smaller than the sum of its proper divisors (3385565688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130210312 is a wasteful number, since it uses less digits than its factorization.
2130210312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3710 (or 3706 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 2130210312 is about 46154.2014555555. The cubic root of 2130210312 is about 1286.6906968704.
Adding to 2130210312 its reverse (2130120312), we get a palindrome (4260330624).
Subtracting from 2130210312 its reverse (2130120312), we obtain a square (90000 = 3002).
The spelling of 2130210312 in words is "two billion, one hundred thirty million, two hundred ten thousand, three hundred twelve".
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