| Base | Representation |
|---|---|
| bin | 11000010000011110… |
| … | …10011011010101110 |
| 3 | 1020121121022121122200 |
| 4 | 30020033103122232 |
| 5 | 203132410200220 |
| 6 | 5552134522330 |
| 7 | 640503534600 |
| oct | 141017233256 |
| 9 | 36547277580 |
| 10 | 13023131310 |
| 11 | 5583244342 |
| 12 | 26355063a6 |
| 13 | 12c7110477 |
| 14 | 8b786b170 |
| 15 | 5134c0890 |
| hex | 3083d36ae |
13023131310 has 144 divisors (see below), whose sum is σ = 40659345792. Its totient is φ = 2880662400.
The previous prime is 13023131291. The next prime is 13023131311. The reversal of 13023131310 is 1313132031.
It is a happy number.
13023131310 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 2×130231313102 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13023131311) 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 71 ways as a sum of consecutive naturals, for example, 89080 + ... + 184340.
It is an arithmetic number, because the mean of its divisors is an integer number (282356568).
Almost surely, 213023131310 is an apocalyptic number.
13023131310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 13023131310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20329672896).
13023131310 is an abundant number, since it is smaller than the sum of its proper divisors (27636214482).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13023131310 is a wasteful number, since it uses less digits than its factorization.
13023131310 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 95319 (or 95309 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 18.
Adding to 13023131310 its reverse (1313132031), we get a palindrome (14336263341).
The spelling of 13023131310 in words is "thirteen billion, twenty-three million, one hundred thirty-one thousand, three hundred ten".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.070 sec. • engine limits •