Base | Representation |
---|---|
bin | 111011101100101… |
… | …0001010010100000 |
3 | 12011121012200121211 |
4 | 1313121101102200 |
5 | 13100244104440 |
6 | 530433355504 |
7 | 100432115641 |
oct | 16731212240 |
9 | 5147180554 |
10 | 2003113120 |
11 | 938783598 |
12 | 47aa08b94 |
13 | 25bcc7348 |
14 | 1500696c8 |
15 | bacc9eea |
hex | 776514a0 |
2003113120 has 48 divisors (see below), whose sum is σ = 4809957768. Its totient is φ = 788106240.
The previous prime is 2003113117. The next prime is 2003113129. The reversal of 2003113120 is 213113002.
It can be written as a sum of positive squares in 4 ways, for example, as 906973456 + 1096139664 = 30116^2 + 33108^2 .
It is a super-2 number, since 2×20031131202 = 8024924343032268800, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 2003113120.
It is not an unprimeable number, because it can be changed into a prime (2003113129) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92859 + ... + 112378.
Almost surely, 22003113120 is an apocalyptic number.
2003113120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2003113120 is an abundant number, since it is smaller than the sum of its proper divisors (2806844648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2003113120 is a wasteful number, since it uses less digits than its factorization.
2003113120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 205313 (or 205305 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 13.
The square root of 2003113120 is about 44756.1517559318. The cubic root of 2003113120 is about 1260.5744252425.
Adding to 2003113120 its reverse (213113002), we get a palindrome (2216226122).
The spelling of 2003113120 in words is "two billion, three million, one hundred thirteen thousand, one hundred twenty".
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