Base | Representation |
---|---|
bin | 11000001101110000… |
… | …10100111111010111 |
3 | 1020120000102020211000 |
4 | 30012320110333113 |
5 | 203111041044343 |
6 | 5550002114343 |
7 | 640105664205 |
oct | 140670247727 |
9 | 36500366730 |
10 | 13000331223 |
11 | 55713912a0 |
12 | 262994b9b3 |
13 | 12c24896a9 |
14 | 8b4814075 |
15 | 5114b9ed3 |
hex | 306e14fd7 |
13000331223 has 64 divisors (see below), whose sum is σ = 21424435200. Its totient is φ = 7724556000.
The previous prime is 13000331219. The next prime is 13000331231. The reversal of 13000331223 is 32213300031.
It is not a de Polignac number, because 13000331223 - 22 = 13000331219 is a prime.
It is a super-2 number, since 2×130003312232 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 13000331196 and 13000331205.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13000331233) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8603038 + ... + 8604548.
It is an arithmetic number, because the mean of its divisors is an integer number (334756800).
Almost surely, 213000331223 is an apocalyptic number.
13000331223 is a deficient number, since it is larger than the sum of its proper divisors (8424103977).
13000331223 is a wasteful number, since it uses less digits than its factorization.
13000331223 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2081 (or 2075 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 13000331223 its reverse (32213300031), we get a palindrome (45213631254).
The spelling of 13000331223 in words is "thirteen billion, three hundred thirty-one thousand, two hundred twenty-three".
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