| Base | Representation |
|---|---|
| bin | 111111001100001… |
| … | …0011011101110000 |
| 3 | 12110202201102100110 |
| 4 | 1332120103131300 |
| 5 | 13320244103100 |
| 6 | 550221221320 |
| 7 | 103354153551 |
| oct | 17630233560 |
| 9 | 5422642313 |
| 10 | 2120300400 |
| 11 | 998944089 |
| 12 | 4b2101840 |
| 13 | 27a377c2a |
| 14 | 161852328 |
| 15 | c6227250 |
| hex | 7e613770 |
2120300400 has 120 divisors (see below), whose sum is σ = 6868689840. Its totient is φ = 559032320.
The previous prime is 2120300389. The next prime is 2120300411. The reversal of 2120300400 is 40030212.
It is an interprime number because it is at equal distance from previous prime (2120300389) and next prime (2120300411).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 96874 + ... + 116726.
It is an arithmetic number, because the mean of its divisors is an integer number (57239082).
Almost surely, 22120300400 is an apocalyptic number.
2120300400 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 2120300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434344920).
2120300400 is an abundant number, since it is smaller than the sum of its proper divisors (4748389440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2120300400 is a wasteful number, since it uses less digits than its factorization.
2120300400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19963 (or 19952 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 2120300400 is about 46046.7197528771. The cubic root of 2120300400 is about 1284.6923314741.
Adding to 2120300400 its reverse (40030212), we get a palindrome (2160330612).
The spelling of 2120300400 in words is "two billion, one hundred twenty million, three hundred thousand, four hundred".
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