| Base | Representation |
|---|---|
| bin | 1001000011101010… |
| … | …1011000110100000 |
| 3 | 20021102220211121011 |
| 4 | 2100322223012200 |
| 5 | 14434403100000 |
| 6 | 1041131110304 |
| 7 | 114151465123 |
| oct | 22072530640 |
| 9 | 6242824534 |
| 10 | 2431300000 |
| 11 | 1038450748 |
| 12 | 57a2a2394 |
| 13 | 2c992756c |
| 14 | 190c8a3ba |
| 15 | e36aa2ba |
| hex | 90eab1a0 |
2431300000 has 144 divisors (see below), whose sum is σ = 6139153944. Its totient is φ = 947200000.
The previous prime is 2431299991. The next prime is 2431300009. The reversal of 2431300000 is 31342.
It is an interprime number because it is at equal distance from previous prime (2431299991) and next prime (2431300009).
It can be written as a sum of positive squares in 12 ways, for example, as 1657792656 + 773507344 = 40716^2 + 27812^2 .
It is a super-2 number, since 2×24313000002 = 11822439380000000000, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2431300009) 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 23 ways as a sum of consecutive naturals, for example, 4099704 + ... + 4100296.
Almost surely, 22431300000 is an apocalyptic number.
2431300000 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 2431300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069576972).
2431300000 is an abundant number, since it is smaller than the sum of its proper divisors (3707853944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2431300000 is an frugal number, since it uses more digits than its factorization.
2431300000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 669 (or 641 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
The square root of 2431300000 is about 49308.2143258099. The cubic root of 2431300000 is about 1344.6611271597.
Adding to 2431300000 its reverse (31342), we get a palindrome (2431331342).
The spelling of 2431300000 in words is "two billion, four hundred thirty-one million, three hundred thousand".
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