Base | Representation |
---|---|
bin | 110100011000001101… |
… | …0111001000001000000 |
3 | 101202100000210111202102 |
4 | 1220300122321001000 |
5 | 3320330231132334 |
6 | 123401233005532 |
7 | 11061253006625 |
oct | 1506032710100 |
9 | 352300714672 |
10 | 112481505344 |
11 | 4378097187a |
12 | 199719b38a8 |
13 | a7b7652170 |
14 | 56309bc34c |
15 | 2dd4dbd67e |
hex | 1a306b9040 |
112481505344 has 112 divisors (see below), whose sum is σ = 246569270640. Its totient is φ = 50592522240.
The previous prime is 112481505343. The next prime is 112481505403. The reversal of 112481505344 is 443505184211.
It can be written as a sum of positive squares in 8 ways, for example, as 1005650944 + 111475854400 = 31712^2 + 333880^2 .
It is a junction number, because it is equal to n+sod(n) for n = 112481505298 and 112481505307.
It is not an unprimeable number, because it can be changed into a prime (112481505341) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 5521802 + ... + 5542134.
It is an arithmetic number, because the mean of its divisors is an integer number (2201511345).
Almost surely, 2112481505344 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 112481505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123284635320).
112481505344 is an abundant number, since it is smaller than the sum of its proper divisors (134087765296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112481505344 is a wasteful number, since it uses less digits than its factorization.
112481505344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20528 (or 20518 counting only the distinct ones).
The product of its (nonzero) digits is 76800, while the sum is 38.
Adding to 112481505344 its reverse (443505184211), we get a palindrome (555986689555).
The spelling of 112481505344 in words is "one hundred twelve billion, four hundred eighty-one million, five hundred five thousand, three hundred forty-four".
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