Base | Representation |
---|---|
bin | 1000001000000010110100 |
3 | 11000012221121 |
4 | 20020002310 |
5 | 1021130400 |
6 | 113353324 |
7 | 24051130 |
oct | 10100264 |
9 | 4005847 |
10 | 2130100 |
11 | 1225415 |
12 | 868844 |
13 | 59771b |
14 | 3d63c0 |
15 | 2c121a |
hex | 2080b4 |
2130100 has 72 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 683520.
The previous prime is 2130061. The next prime is 2130101. The reversal of 2130100 is 10312.
It is a Harshad number since it is a multiple of its sum of digits (7).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2130101) 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, 11811 + ... + 11989.
It is an arithmetic number, because the mean of its divisors is an integer number (78120).
22130100 is an apocalyptic number.
2130100 is a gapful number since it is divisible by the number (20) 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 2130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).
2130100 is an abundant number, since it is smaller than the sum of its proper divisors (3494540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130100 is a wasteful number, since it uses less digits than its factorization.
2130100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 217 (or 210 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 7.
The square root of 2130100 is about 1459.4862109660. The cubic root of 2130100 is about 128.6668486251. Note that the first 3 decimals are identical.
Adding to 2130100 its reverse (10312), we get a palindrome (2140412).
The spelling of 2130100 in words is "two million, one hundred thirty thousand, one hundred".
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