Base | Representation |
---|---|
bin | 111111100000111… |
… | …1000100101000000 |
3 | 12111112020012020012 |
4 | 1333001320211000 |
5 | 13331041402240 |
6 | 551251004052 |
7 | 103545622004 |
oct | 17701704500 |
9 | 5445205205 |
10 | 2131200320 |
11 | 9a4009387 |
12 | 4b5899628 |
13 | 27c6c32a2 |
14 | 16308c704 |
15 | c717bb65 |
hex | 7f078940 |
2131200320 has 112 divisors (see below), whose sum is σ = 5204399040. Its totient is φ = 831012864.
The previous prime is 2131200299. The next prime is 2131200329. The reversal of 2131200320 is 230021312.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 2131200295 and 2131200304.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2131200329) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2293616 + ... + 2294544.
Almost surely, 22131200320 is an apocalyptic number.
2131200320 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 2131200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602199520).
2131200320 is an abundant number, since it is smaller than the sum of its proper divisors (3073198720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131200320 is a wasteful number, since it uses less digits than its factorization.
2131200320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1120 (or 1110 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 14.
The square root of 2131200320 is about 46164.9252138461. The cubic root of 2131200320 is about 1286.8899943749.
Adding to 2131200320 its reverse (230021312), we get a palindrome (2361221632).
The spelling of 2131200320 in words is "two billion, one hundred thirty-one million, two hundred thousand, three hundred twenty".
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