Base | Representation |
---|---|
bin | 111011111111101… |
… | …1110110110000000 |
3 | 12012022001121100112 |
4 | 1313333132312000 |
5 | 13110330130422 |
6 | 531432210452 |
7 | 100613216000 |
oct | 16777366600 |
9 | 5168047315 |
10 | 2013130112 |
11 | 9433a54a4 |
12 | 482239a28 |
13 | 2610c3866 |
14 | 151516000 |
15 | bbb07ee2 |
hex | 77fded80 |
2013130112 has 64 divisors (see below), whose sum is σ = 4677108000. Its totient is φ = 862751232.
The previous prime is 2013130109. The next prime is 2013130127. The reversal of 2013130112 is 2110313102.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×20131301122 = 8105385695682265088, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20978 + ... + 66830.
Almost surely, 22013130112 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 2013130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338554000).
2013130112 is an abundant number, since it is smaller than the sum of its proper divisors (2663977888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2013130112 is an frugal number, since it uses more digits than its factorization.
2013130112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 45888 (or 45862 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 14.
The square root of 2013130112 is about 44867.9185164634. The cubic root of 2013130112 is about 1262.6721889382.
Adding to 2013130112 its reverse (2110313102), we get a palindrome (4123443214).
It can be divided in two parts, 201 and 3130112, that added together give a palindrome (3130313).
The spelling of 2013130112 in words is "two billion, thirteen million, one hundred thirty thousand, one hundred twelve".
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