Base | Representation |
---|---|
bin | 1101011110010… |
… | …10010000110100 |
3 | 21212200022122212 |
4 | 12233022100310 |
5 | 212413313400 |
6 | 15114312552 |
7 | 2541464105 |
oct | 657122064 |
9 | 255608585 |
10 | 113026100 |
11 | 58889200 |
12 | 31a28758 |
13 | 1a554865 |
14 | 110223ac |
15 | 9dc9335 |
hex | 6bca434 |
113026100 has 54 divisors (see below), whose sum is σ = 269619462. Its totient is φ = 41096000.
The previous prime is 113026097. The next prime is 113026139. The reversal of 113026100 is 1620311.
It can be written as a sum of positive squares in 3 ways, for example, as 2439844 + 110586256 = 1562^2 + 10516^2 .
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7430 + ... + 16770.
It is an arithmetic number, because the mean of its divisors is an integer number (4992953).
Almost surely, 2113026100 is an apocalyptic number.
113026100 is a gapful number since it is divisible by the number (10) 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 113026100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134809731).
113026100 is an abundant number, since it is smaller than the sum of its proper divisors (156593362).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113026100 is a wasteful number, since it uses less digits than its factorization.
113026100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9377 (or 9359 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 14.
The square root of 113026100 is about 10631.3733825880. The cubic root of 113026100 is about 483.4960318959.
Adding to 113026100 its reverse (1620311), we get a palindrome (114646411).
The spelling of 113026100 in words is "one hundred thirteen million, twenty-six thousand, one hundred".
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