Base | Representation |
---|---|
bin | 1111011111110… |
… | …10100100110000 |
3 | 100001121202010021 |
4 | 13233322210300 |
5 | 231240014300 |
6 | 20522213224 |
7 | 3135664150 |
oct | 757724460 |
9 | 301552107 |
10 | 130001200 |
11 | 6742290a |
12 | 37654214 |
13 | 20c191b4 |
14 | 133a0760 |
15 | b62dd1a |
hex | 7bfa930 |
130001200 has 120 divisors (see below), whose sum is σ = 369485280. Its totient is φ = 43008000.
The previous prime is 130001191. The next prime is 130001203. The reversal of 130001200 is 2100031.
It is a Harshad number since it is a multiple of its sum of digits (7).
It is not an unprimeable number, because it can be changed into a prime (130001203) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80400 + ... + 82000.
It is an arithmetic number, because the mean of its divisors is an integer number (3079044).
Almost surely, 2130001200 is an apocalyptic number.
130001200 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 130001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184742640).
130001200 is an abundant number, since it is smaller than the sum of its proper divisors (239484080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130001200 is a wasteful number, since it uses less digits than its factorization.
130001200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1655 (or 1644 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 7.
The square root of 130001200 is about 11401.8068743511. The cubic root of 130001200 is about 506.5812606121.
Adding to 130001200 its reverse (2100031), we get a palindrome (132101231).
The spelling of 130001200 in words is "one hundred thirty million, one thousand, two hundred".
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