| Base | Representation |
|---|---|
| bin | 1100100011011… |
| … | …11111100100101 |
| 3 | 21100011121120112 |
| 4 | 12101233330211 |
| 5 | 203430104013 |
| 6 | 14241142405 |
| 7 | 2416113056 |
| oct | 621577445 |
| 9 | 240147515 |
| 10 | 105316133 |
| 11 | 544a262a |
| 12 | 2b32aa05 |
| 13 | 18a85450 |
| 14 | ddb672d |
| 15 | 93a4ba8 |
| hex | 646ff25 |
105316133 has 4 divisors (see below), whose sum is σ = 113417388. Its totient is φ = 97214880.
The previous prime is 105316129. The next prime is 105316153. The reversal of 105316133 is 331613501.
It is a happy number.
It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 331613501 = 3001 ⋅110501.
It can be written as a sum of positive squares in 2 ways, for example, as 9628609 + 95687524 = 3103^2 + 9782^2 .
It is a cyclic number.
It is not a de Polignac number, because 105316133 - 22 = 105316129 is a prime.
It is a super-2 number, since 2×1053161332 = 22182975740147378, which contains 22 as substring.
It is a Duffinian number.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 105316099 and 105316108.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105316153) by changing a digit.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4050608 + ... + 4050633.
It is an arithmetic number, because the mean of its divisors is an integer number (28354347).
Almost surely, 2105316133 is an apocalyptic number.
105316133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.
It is an amenable number.
105316133 is a deficient number, since it is larger than the sum of its proper divisors (8101255).
105316133 is an equidigital number, since it uses as much as digits as its factorization.
105316133 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8101254.
The product of its (nonzero) digits is 810, while the sum is 23.
The square root of 105316133 is about 10262.3648833980. The cubic root of 105316133 is about 472.2423899258.
Adding to 105316133 its reverse (331613501), we get a palindrome (436929634).
The spelling of 105316133 in words is "one hundred five million, three hundred sixteen thousand, one hundred thirty-three".
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