Base | Representation |
---|---|
bin | 110001001001001100… |
… | …0110101101100111000 |
3 | 101002101221002122021012 |
4 | 1202102120311230320 |
5 | 3212114002400211 |
6 | 120252053333052 |
7 | 10424155253666 |
oct | 1422230655470 |
9 | 332357078235 |
10 | 105535200056 |
11 | 40836961900 |
12 | 18553637188 |
13 | 9c4b4c9250 |
14 | 517223bc36 |
15 | 2b2a15dd8b |
hex | 1892635b38 |
105535200056 has 96 divisors (see below), whose sum is σ = 237444548880. Its totient is φ = 43673541120.
The previous prime is 105535200053. The next prime is 105535200059. The reversal of 105535200056 is 650002535501.
105535200056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (105535200053) and next prime (105535200059).
It is a super-2 number, since 2×1055352000562 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 105535199995 and 105535200031.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105535200053) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861191 + ... + 976073.
Almost surely, 2105535200056 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 105535200056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118722274440).
105535200056 is an abundant number, since it is smaller than the sum of its proper divisors (131909348824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105535200056 is a wasteful number, since it uses less digits than its factorization.
105535200056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 114997 (or 114982 counting only the distinct ones).
The product of its (nonzero) digits is 22500, while the sum is 32.
Adding to 105535200056 its reverse (650002535501), we get a palindrome (755537735557).
The spelling of 105535200056 in words is "one hundred five billion, five hundred thirty-five million, two hundred thousand, fifty-six".
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