Base | Representation |
---|---|
bin | 110010000100… |
… | …001000011100 |
3 | 220200202220200 |
4 | 302010020130 |
5 | 11324432444 |
6 | 1145143500 |
7 | 216360516 |
oct | 62041034 |
9 | 26622820 |
10 | 13124124 |
11 | 7454392 |
12 | 448ab90 |
13 | 2946870 |
14 | 1a58bb6 |
15 | 1243969 |
hex | c8421c |
13124124 has 72 divisors (see below), whose sum is σ = 36996960. Its totient is φ = 3894912.
The previous prime is 13124107. The next prime is 13124131. The reversal of 13124124 is 42142131.
It is a super-3 number, since 3×131241243 (a number of 22 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 13124097 and 13124106.
It is a congruent number.
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, 13089 + ... + 14055.
Almost surely, 213124124 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 13124124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498480).
13124124 is an abundant number, since it is smaller than the sum of its proper divisors (23872836).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13124124 is a wasteful number, since it uses less digits than its factorization.
13124124 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1019 (or 1014 counting only the distinct ones).
The product of its digits is 192, while the sum is 18.
The square root of 13124124 is about 3622.7232850440. The cubic root of 13124124 is about 235.8794510261.
Adding to 13124124 its reverse (42142131), we get a palindrome (55266255).
The spelling of 13124124 in words is "thirteen million, one hundred twenty-four thousand, one hundred twenty-four".
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