Base | Representation |
---|---|
bin | 11000011010000000… |
… | …11010000010000001 |
3 | 1020211011211001222100 |
4 | 30031000122002001 |
5 | 203313344043241 |
6 | 10004113101013 |
7 | 642464421435 |
oct | 141500320201 |
9 | 36734731870 |
10 | 13103112321 |
11 | 5614402252 |
12 | 2658257769 |
13 | 130a865000 |
14 | 8c432a9c5 |
15 | 51a51d9b6 |
hex | 30d01a081 |
13103112321 has 72 divisors (see below), whose sum is σ = 21789742520. Its totient is φ = 7585823232.
The previous prime is 13103112313. The next prime is 13103112353. The reversal of 13103112321 is 12321130131.
13103112321 is a `hidden beast` number, since 1 + 31 + 0 + 311 + 2 + 321 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 11240240400 + 1862871921 = 106020^2 + 43161^2 .
It is not a de Polignac number, because 13103112321 - 23 = 13103112313 is a prime.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 13103112294 and 13103112303.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13103112301) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5713251 + ... + 5715543.
Almost surely, 213103112321 is an apocalyptic number.
It is an amenable number.
13103112321 is a deficient number, since it is larger than the sum of its proper divisors (8686630199).
13103112321 is a wasteful number, since it uses less digits than its factorization.
13103112321 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2372 (or 2326 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 13103112321 its reverse (12321130131), we get a palindrome (25424242452).
The spelling of 13103112321 in words is "thirteen billion, one hundred three million, one hundred twelve thousand, three hundred twenty-one".
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