| Base | Representation |
|---|---|
| bin | 111011100110111… |
| … | …1001010011100100 |
| 3 | 12011101121012100001 |
| 4 | 1313031321103210 |
| 5 | 13044013200200 |
| 6 | 530245431044 |
| 7 | 100364556406 |
| oct | 16715712344 |
| 9 | 5141535301 |
| 10 | 2000131300 |
| 11 | 937027282 |
| 12 | 479a0b484 |
| 13 | 25b4c205b |
| 14 | 14d8d0b76 |
| 15 | ba8db76a |
| hex | 773794e4 |
2000131300 has 72 divisors (see below), whose sum is σ = 4395421800. Its totient is φ = 789964800.
The previous prime is 2000131297. The next prime is 2000131303. The reversal of 2000131300 is 31310002.
It is an interprime number because it is at equal distance from previous prime (2000131297) and next prime (2000131303).
It can be written as a sum of positive squares in 12 ways, for example, as 1154368576 + 845762724 = 33976^2 + 29082^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (2000131303) 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, 3590622 + ... + 3591178.
It is an arithmetic number, because the mean of its divisors is an integer number (61047525).
Almost surely, 22000131300 is an apocalyptic number.
2000131300 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 2000131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197710900).
2000131300 is an abundant number, since it is smaller than the sum of its proper divisors (2395290500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000131300 is a wasteful number, since it uses less digits than its factorization.
2000131300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 961 (or 954 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 10.
The square root of 2000131300 is about 44722.8275045306. The cubic root of 2000131300 is about 1259.9486205639.
Adding to 2000131300 its reverse (31310002), we get a palindrome (2031441302).
The spelling of 2000131300 in words is "two billion, one hundred thirty-one thousand, three hundred".
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