Base | Representation |
---|---|
bin | 110001101101… |
… | …011011001000 |
3 | 220112001022210 |
4 | 301231123020 |
5 | 11313443422 |
6 | 1143145120 |
7 | 215522403 |
oct | 61553310 |
9 | 26461283 |
10 | 13031112 |
11 | 73a0516 |
12 | 44451a0 |
13 | 2913423 |
14 | 1a32d3a |
15 | 122610c |
hex | c6d6c8 |
13031112 has 96 divisors (see below), whose sum is σ = 37216800. Its totient is φ = 3778560.
The previous prime is 13031101. The next prime is 13031159. The reversal of 13031112 is 21113031.
13031112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317812 + ... + 317852.
It is an arithmetic number, because the mean of its divisors is an integer number (387675).
Almost surely, 213031112 is an apocalyptic number.
13031112 is a gapful number since it is divisible by the number (12) 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 13031112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18608400).
13031112 is an abundant number, since it is smaller than the sum of its proper divisors (24185688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13031112 is a wasteful number, since it uses less digits than its factorization.
13031112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 127 (or 82 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 12.
The square root of 13031112 is about 3609.8631553010. The cubic root of 13031112 is about 235.3208955504.
Adding to 13031112 its reverse (21113031), we get a palindrome (34144143).
It can be divided in two parts, 1303 and 1112, that added together give a triangular number (2415 = T69).
The spelling of 13031112 in words is "thirteen million, thirty-one thousand, one hundred twelve".
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