Base | Representation |
---|---|
bin | 110001000011100000… |
… | …0101111101000000110 |
3 | 101001220121221122201200 |
4 | 1202013000233220012 |
5 | 3211221122144332 |
6 | 120221114403330 |
7 | 10416350032122 |
oct | 1420700575006 |
9 | 331817848650 |
10 | 105344334342 |
11 | 40749148645 |
12 | 184bb730546 |
13 | 9c1aabc760 |
14 | 5154b56582 |
15 | 2b1850b17c |
hex | 188702fa06 |
105344334342 has 24 divisors (see below), whose sum is σ = 245803447344. Its totient is φ = 32413641264.
The previous prime is 105344334341. The next prime is 105344334379. The reversal of 105344334342 is 243433443501.
It is a happy number.
105344334342 is a `hidden beast` number, since 1 + 0 + 534 + 43 + 3 + 43 + 42 = 666.
It is a super-2 number, since 2×1053443343422 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 105344334297 and 105344334306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105344334341) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225094498 + ... + 225094965.
It is an arithmetic number, because the mean of its divisors is an integer number (10241810306).
Almost surely, 2105344334342 is an apocalyptic number.
105344334342 is an abundant number, since it is smaller than the sum of its proper divisors (140459113002).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105344334342 is a wasteful number, since it uses less digits than its factorization.
105344334342 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 450189484 (or 450189481 counting only the distinct ones).
The product of its (nonzero) digits is 207360, while the sum is 36.
Adding to 105344334342 its reverse (243433443501), we get a palindrome (348777777843).
The spelling of 105344334342 in words is "one hundred five billion, three hundred forty-four million, three hundred thirty-four thousand, three hundred forty-two".
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