Base | Representation |
---|---|
bin | 110001000101100010… |
… | …0000001101010100100 |
3 | 101002002100211211220210 |
4 | 1202023010001222210 |
5 | 3211341022203044 |
6 | 120231543255420 |
7 | 10421133540033 |
oct | 1421304015244 |
9 | 332070754823 |
10 | 105412303524 |
11 | 40783551920 |
12 | 1851a44a570 |
13 | 9c2bbc9ac8 |
14 | 515dbaa71a |
15 | 2b1e4851b9 |
hex | 188b101aa4 |
105412303524 has 96 divisors (see below), whose sum is σ = 272018073600. Its totient is φ = 31504037760.
The previous prime is 105412303523. The next prime is 105412303553. The reversal of 105412303524 is 425303214501.
It is a super-2 number, since 2×1054123035242 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 105412303491 and 105412303500.
It is not an unprimeable number, because it can be changed into a prime (105412303523) 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 31 ways as a sum of consecutive naturals, for example, 10391647 + ... + 10401785.
It is an arithmetic number, because the mean of its divisors is an integer number (2833521600).
Almost surely, 2105412303524 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 105412303524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136009036800).
105412303524 is an abundant number, since it is smaller than the sum of its proper divisors (166605770076).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105412303524 is a wasteful number, since it uses less digits than its factorization.
105412303524 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11233 (or 11231 counting only the distinct ones).
The product of its (nonzero) digits is 14400, while the sum is 30.
The spelling of 105412303524 in words is "one hundred five billion, four hundred twelve million, three hundred three thousand, five hundred twenty-four".
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