Base | Representation |
---|---|
bin | 110010000011… |
… | …001001111000 |
3 | 220200120102101 |
4 | 302003021320 |
5 | 11324320440 |
6 | 1145113144 |
7 | 216343036 |
oct | 62031170 |
9 | 26616371 |
10 | 13120120 |
11 | 7451382 |
12 | 44887b4 |
13 | 2944ab0 |
14 | 1a57556 |
15 | 124269a |
hex | c83278 |
13120120 has 64 divisors (see below), whose sum is σ = 33203520. Its totient is φ = 4629504.
The previous prime is 13120111. The next prime is 13120139. The reversal of 13120120 is 2102131.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 13120097 and 13120106.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11412 + ... + 12508.
It is an arithmetic number, because the mean of its divisors is an integer number (518805).
Almost surely, 213120120 is an apocalyptic number.
13120120 is a gapful number since it is divisible by the number (10) 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 13120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601760).
13120120 is an abundant number, since it is smaller than the sum of its proper divisors (20083400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13120120 is a wasteful number, since it uses less digits than its factorization.
13120120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1144 (or 1140 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
The square root of 13120120 is about 3622.1706199460. The cubic root of 13120120 is about 235.8554606660.
Adding to 13120120 its reverse (2102131), we get a palindrome (15222251).
The spelling of 13120120 in words is "thirteen million, one hundred twenty thousand, one hundred twenty".
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