Base | Representation |
---|---|
bin | 1011110101111111111110… |
… | …0011001111001001010010 |
3 | 1201002220220210112210020000 |
4 | 2331133333203033021102 |
5 | 3201324214311120310 |
6 | 43410213300430430 |
7 | 2512555362465153 |
oct | 275377743171122 |
9 | 51086823483200 |
10 | 13022333301330 |
11 | 4170816725621 |
12 | 15639950a8416 |
13 | 736001897a12 |
14 | 3303da16792a |
15 | 178b1a1a14c0 |
hex | bd7ff8cf252 |
13022333301330 has 160 divisors (see below), whose sum is σ = 36063879668784. Its totient is φ = 3369193242624.
The previous prime is 13022333301311. The next prime is 13022333301331. The reversal of 13022333301330 is 3310333322031.
13022333301330 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 23 + 3 + 3 + 301 + 330 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 11617674557841 + 1404658743489 = 3408471^2 + 1185183^2 .
It is a super-2 number, since 2×130223333013302 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 13022333301294 and 13022333301303.
It is not an unprimeable number, because it can be changed into a prime (13022333301331) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9963954 + ... + 11194866.
Almost surely, 213022333301330 is an apocalyptic number.
13022333301330 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 13022333301330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18031939834392).
13022333301330 is an abundant number, since it is smaller than the sum of its proper divisors (23041546367454).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13022333301330 is a wasteful number, since it uses less digits than its factorization.
13022333301330 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1231322 (or 1231313 counting only the distinct ones).
The product of its (nonzero) digits is 8748, while the sum is 27.
Adding to 13022333301330 its reverse (3310333322031), we get a palindrome (16332666623361).
The spelling of 13022333301330 in words is "thirteen trillion, twenty-two billion, three hundred thirty-three million, three hundred one thousand, three hundred thirty".
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