Base | Representation |
---|---|
bin | 111011100110111… |
… | …1001110000001100 |
3 | 12011101121021211220 |
4 | 1313031321300030 |
5 | 13044013230012 |
6 | 530245443340 |
7 | 100364564634 |
oct | 16715716014 |
9 | 5141537756 |
10 | 2000133132 |
11 | 937028698 |
12 | 479a10550 |
13 | 25b4c2b3a |
14 | 14d8d16c4 |
15 | ba8dc08c |
hex | 77379c0c |
2000133132 has 96 divisors (see below), whose sum is σ = 5010593280. Its totient is φ = 619799040.
The previous prime is 2000133127. The next prime is 2000133137. The reversal of 2000133132 is 2313310002.
It is an interprime number because it is at equal distance from previous prime (2000133127) and next prime (2000133137).
It is not an unprimeable number, because it can be changed into a prime (2000133137) 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 31 ways as a sum of consecutive naturals, for example, 1091457 + ... + 1093287.
It is an arithmetic number, because the mean of its divisors is an integer number (52193680).
Almost surely, 22000133132 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2000133132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505296640).
2000133132 is an abundant number, since it is smaller than the sum of its proper divisors (3010460148).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000133132 is a wasteful number, since it uses less digits than its factorization.
2000133132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1983 (or 1981 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 2000133132 is about 44722.8479862363. The cubic root of 2000133132 is about 1259.9490052428.
Adding to 2000133132 its reverse (2313310002), we get a palindrome (4313443134).
The spelling of 2000133132 in words is "two billion, one hundred thirty-three thousand, one hundred thirty-two".
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