| Base | Representation |
|---|---|
| bin | 11000110010101100… |
| … | …00101100001111110 |
| 3 | 1021100121100021000120 |
| 4 | 30121112011201332 |
| 5 | 204224342401420 |
| 6 | 10040430035410 |
| 7 | 650560112505 |
| oct | 143126054176 |
| 9 | 37317307016 |
| 10 | 13310122110 |
| 11 | 571024281a |
| 12 | 26b5648b66 |
| 13 | 1341704acc |
| 14 | 903a1583c |
| 15 | 52d7aed40 |
| hex | 31958587e |
13310122110 has 128 divisors (see below), whose sum is σ = 33591075840. Its totient is φ = 3371802624.
The previous prime is 13310122099. The next prime is 13310122129. The reversal of 13310122110 is 1122101331.
It is a happy number.
13310122110 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 2×133101221102 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 13310122110.
It is a congruent number.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 10936222 + ... + 10937438.
It is an arithmetic number, because the mean of its divisors is an integer number (262430280).
Almost surely, 213310122110 is an apocalyptic number.
13310122110 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 13310122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795537920).
13310122110 is an abundant number, since it is smaller than the sum of its proper divisors (20280953730).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13310122110 is a wasteful number, since it uses less digits than its factorization.
13310122110 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1490.
The product of its (nonzero) digits is 36, while the sum is 15.
Adding to 13310122110 its reverse (1122101331), we get a palindrome (14432223441).
The spelling of 13310122110 in words is "thirteen billion, three hundred ten million, one hundred twenty-two thousand, one hundred ten".
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