Base | Representation |
---|---|
bin | 111111100001001… |
… | …1010110000100000 |
3 | 12111112111022021101 |
4 | 1333002122300200 |
5 | 13331110342240 |
6 | 551254004144 |
7 | 103550044114 |
oct | 17702326040 |
9 | 5445438241 |
10 | 2131340320 |
11 | 9a40a458a |
12 | 4b5946654 |
13 | 27c741c25 |
14 | 1630c7744 |
15 | c71a839a |
hex | 7f09ac20 |
2131340320 has 72 divisors (see below), whose sum is σ = 5349024324. Its totient is φ = 802369536.
The previous prime is 2131340311. The next prime is 2131340359. The reversal of 2131340320 is 230431312.
It can be written as a sum of positive squares in 6 ways, for example, as 1520064144 + 611276176 = 38988^2 + 24724^2 .
It is a super-2 number, since 2×21313403202 = 9085223119315404800, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23194 + ... + 69286.
Almost surely, 22131340320 is an apocalyptic number.
2131340320 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 2131340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674512162).
2131340320 is an abundant number, since it is smaller than the sum of its proper divisors (3217684004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131340320 is a wasteful number, since it uses less digits than its factorization.
2131340320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 46142 (or 46117 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 19.
The square root of 2131340320 is about 46166.4414916290. The cubic root of 2131340320 is about 1286.9181726512.
Adding to 2131340320 its reverse (230431312), we get a palindrome (2361771632).
The spelling of 2131340320 in words is "two billion, one hundred thirty-one million, three hundred forty thousand, three hundred twenty".
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