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13144131 = 32711131459
BaseRepresentation
bin110010001001…
…000001000011
3220201210100200
4302021001003
511331103011
61145420243
7216503040
oct62110103
926653320
1013144131
117468420
12449a683
1329529c0
141a621c7
151249856
hexc89043

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".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 693 819 1001 1287 1459 3003 4377 9009 10213 13131 16049 18967 30639 48147 56901 91917 112343 132769 144441 170703 208637 337029 398307 625911 1011087 1194921 1460459 1877733 4381377 13144131