| Base | Representation |
|---|---|
| bin | 10011001110010010… |
| … | …10101001111001100 |
| 3 | 222122020201101002220 |
| 4 | 21213021111033030 |
| 5 | 132114012342444 |
| 6 | 4424030415340 |
| 7 | 513515146140 |
| oct | 114711251714 |
| 9 | 28566641086 |
| 10 | 10320434124 |
| 11 | 4416685a00 |
| 12 | 2000361550 |
| 13 | c861c1170 |
| 14 | 6dc935220 |
| 15 | 4060a6619 |
| hex | 2672553cc |
10320434124 has 288 divisors, whose sum is σ = 33473814528. Its totient is φ = 2406412800.
The previous prime is 10320434123. The next prime is 10320434149. The reversal of 10320434124 is 42143402301.
10320434124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×103204341242 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10320434094 and 10320434103.
It is not an unprimeable number, because it can be changed into a prime (10320434123) 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 95 ways as a sum of consecutive naturals, for example, 4887829 + ... + 4889939.
Almost surely, 210320434124 is an apocalyptic number.
10320434124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10320434124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16736907264).
10320434124 is an abundant number, since it is smaller than the sum of its proper divisors (23153380404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10320434124 is a wasteful number, since it uses less digits than its factorization.
10320434124 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2197 (or 2184 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 10320434124 its reverse (42143402301), we get a palindrome (52463836425).
It can be divided in two parts, 10320 and 434124, that added together give a palindrome (444444).
The spelling of 10320434124 in words is "ten billion, three hundred twenty million, four hundred thirty-four thousand, one hundred twenty-four".
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