Base | Representation |
---|---|
bin | 101111110011… |
… | …100110000100 |
3 | 212120200210212 |
4 | 233303212010 |
5 | 11202011400 |
6 | 1124334552 |
7 | 211343510 |
oct | 57634604 |
9 | 25520725 |
10 | 12532100 |
11 | 708a609 |
12 | 4244458 |
13 | 279a259 |
14 | 1943140 |
15 | 1178335 |
hex | bf3984 |
12532100 has 36 divisors (see below), whose sum is σ = 31081344. Its totient is φ = 4296480.
The previous prime is 12532067. The next prime is 12532103. The reversal of 12532100 is 123521.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is not an unprimeable number, because it can be changed into a prime (12532103) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8252 + ... + 9651.
Almost surely, 212532100 is an apocalyptic number.
12532100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
12532100 is an abundant number, since it is smaller than the sum of its proper divisors (18549244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12532100 is a wasteful number, since it uses less digits than its factorization.
12532100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17924 (or 17917 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 14.
The square root of 12532100 is about 3540.0706207645. The cubic root of 12532100 is about 232.2779318720.
Adding to 12532100 its reverse (123521), we get a palindrome (12655621).
The spelling of 12532100 in words is "twelve million, five hundred thirty-two thousand, one hundred".
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