Base | Representation |
---|---|
bin | 11000110101000100… |
… | …00010001000011010 |
3 | 1021101222210202001200 |
4 | 30122202002020122 |
5 | 204244441444010 |
6 | 10042420455030 |
7 | 651221252343 |
oct | 143242021032 |
9 | 37358722050 |
10 | 13330031130 |
11 | 5720500759 |
12 | 270024a476 |
13 | 13458859b0 |
14 | 9065190ca |
15 | 5303e3cc0 |
hex | 31a88221a |
13330031130 has 96 divisors (see below), whose sum is σ = 37363107600. Its totient is φ = 3277808640.
The previous prime is 13330031083. The next prime is 13330031137. The reversal of 13330031130 is 3113003331.
It can be written as a sum of positive squares in 8 ways, for example, as 5572473201 + 7757557929 = 74649^2 + 88077^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (13330031137) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1221900 + ... + 1232760.
Almost surely, 213330031130 is an apocalyptic number.
13330031130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 13330031130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18681553800).
13330031130 is an abundant number, since it is smaller than the sum of its proper divisors (24033076470).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13330031130 is a wasteful number, since it uses less digits than its factorization.
13330031130 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11936 (or 11933 counting only the distinct ones).
The product of its (nonzero) digits is 243, while the sum is 18.
Adding to 13330031130 its reverse (3113003331), we get a palindrome (16443034461).
The spelling of 13330031130 in words is "thirteen billion, three hundred thirty million, thirty-one thousand, one hundred thirty".
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