| Base | Representation |
|---|---|
| bin | 111111100001001… |
| … | …0001111111010000 |
| 3 | 12111112102111000000 |
| 4 | 1333002101333100 |
| 5 | 13331103220100 |
| 6 | 551253130000 |
| 7 | 103546534311 |
| oct | 17702217720 |
| 9 | 5445374000 |
| 10 | 2131304400 |
| 11 | 9a407a5a5 |
| 12 | 4b5929900 |
| 13 | 27c72b784 |
| 14 | 1630b8608 |
| 15 | c719c900 |
| hex | 7f091fd0 |
2131304400 has 210 divisors, whose sum is σ = 7678226630. Its totient is φ = 568270080.
The previous prime is 2131304393. The next prime is 2131304401. The reversal of 2131304400 is 44031312.
2131304400 is a `hidden beast` number, since 213 + 13 + 0 + 440 + 0 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 103063104 + 2028241296 = 10152^2 + 45036^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2131304401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 287946 + ... + 295254.
Almost surely, 22131304400 is an apocalyptic number.
2131304400 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 2131304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839113315).
2131304400 is an abundant number, since it is smaller than the sum of its proper divisors (5546922230).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131304400 is an equidigital number, since it uses as much as digits as its factorization.
2131304400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7345 (or 7319 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2131304400 is about 46166.0524628216. The cubic root of 2131304400 is about 1286.9109430283.
Adding to 2131304400 its reverse (44031312), we get a palindrome (2175335712).
The spelling of 2131304400 in words is "two billion, one hundred thirty-one million, three hundred four thousand, four hundred".
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