Base | Representation |
---|---|
bin | 110001111110… |
… | …110001111000 |
3 | 220122122211200 |
4 | 301332301320 |
5 | 11323232300 |
6 | 1144454200 |
7 | 216236556 |
oct | 61766170 |
9 | 26578750 |
10 | 13102200 |
11 | 7439971 |
12 | 447a360 |
13 | 29398a7 |
14 | 1a50bd6 |
15 | 123c200 |
hex | c7ec78 |
13102200 has 144 divisors (see below), whose sum is σ = 45700200. Its totient is φ = 3360000.
The previous prime is 13102163. The next prime is 13102207. The reversal of 13102200 is 220131.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13102207) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52075 + ... + 52325.
Almost surely, 213102200 is an apocalyptic number.
13102200 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 13102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22850100).
13102200 is an abundant number, since it is smaller than the sum of its proper divisors (32598000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13102200 is a wasteful number, since it uses less digits than its factorization.
13102200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 302 (or 290 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 13102200 is about 3619.6961198421. The cubic root of 13102200 is about 235.7480313748.
Adding to 13102200 its reverse (220131), we get a palindrome (13322331).
The spelling of 13102200 in words is "thirteen million, one hundred two thousand, two hundred".
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