Base | Representation |
---|---|
bin | 100001001100000… |
… | …1011100100100010 |
3 | 2212121111112011200 |
4 | 1002120023210202 |
5 | 4240042310411 |
6 | 302301022030 |
7 | 36411512403 |
oct | 10230134442 |
9 | 2777445150 |
10 | 1113635106 |
11 | 5216885a1 |
12 | 270b54916 |
13 | 149945cac |
14 | a7c8b9aa |
15 | 67b7ae56 |
hex | 4260b922 |
1113635106 has 48 divisors (see below), whose sum is σ = 2568477600. Its totient is φ = 347713344.
The previous prime is 1113635101. The next prime is 1113635111. The reversal of 1113635106 is 6015363111.
1113635106 is a `hidden beast` number, since 1 + 1 + 13 + 635 + 10 + 6 = 666.
It is an interprime number because it is at equal distance from previous prime (1113635101) and next prime (1113635111).
It is a super-3 number, since 3×11136351063 (a number of 28 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 1113635106.
It is not an unprimeable number, because it can be changed into a prime (1113635101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12145 + ... + 48731.
It is an arithmetic number, because the mean of its divisors is an integer number (53509950).
Almost surely, 21113635106 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1113635106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284238800).
1113635106 is an abundant number, since it is smaller than the sum of its proper divisors (1454842494).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1113635106 is a wasteful number, since it uses less digits than its factorization.
1113635106 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36703 (or 36700 counting only the distinct ones).
The product of its (nonzero) digits is 1620, while the sum is 27.
The square root of 1113635106 is about 33371.1717804455. The cubic root of 1113635106 is about 1036.5278394525.
Adding to 1113635106 its reverse (6015363111), we get a palindrome (7128998217).
The spelling of 1113635106 in words is "one billion, one hundred thirteen million, six hundred thirty-five thousand, one hundred six".
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