Base | Representation |
---|---|
bin | 110010001001… |
… | …000001000011 |
3 | 220201210100200 |
4 | 302021001003 |
5 | 11331103011 |
6 | 1145420243 |
7 | 216503040 |
oct | 62110103 |
9 | 26653320 |
10 | 13144131 |
11 | 7468420 |
12 | 449a683 |
13 | 29529c0 |
14 | 1a621c7 |
15 | 1249856 |
hex | c89043 |
13144131 has 48 divisors (see below), whose sum is σ = 25509120. Its totient is φ = 6298560.
The previous prime is 13144123. The next prime is 13144141.
13144131 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 13144131 - 23 = 13144123 is a prime.
It is a super-2 number, since 2×131441312 = 345536359490322, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (13144141) 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, 8280 + ... + 9738.
It is an arithmetic number, because the mean of its divisors is an integer number (531440).
Almost surely, 213144131 is an apocalyptic number.
13144131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
13144131 is a deficient number, since it is larger than the sum of its proper divisors (12364989).
13144131 is a wasteful number, since it uses less digits than its factorization.
13144131 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1496 (or 1493 counting only the distinct ones).
The product of its digits is 144, while the sum is 18.
The square root of 13144131 is about 3625.4835539553. The cubic root of 13144131 is about 235.9992518888. Note that the first 3 decimals are identical.
It can be divided in two parts, 1314 and 4131, that added together give a palindrome (5445).
The spelling of 13144131 in words is "thirteen million, one hundred forty-four thousand, one hundred thirty-one".
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