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13131228 = 22311313209
BaseRepresentation
bin110010000101…
…110111011100
3220201010122210
4302011313130
511330144403
61145240420
7216420315
oct62056734
926633583
1013131228
117459760
124493110
132949b76
141a5b60c
151245b03
hexc85ddc

13131228 has 48 divisors (see below), whose sum is σ = 34513920. Its totient is φ = 3849600.

The previous prime is 13131203. The next prime is 13131233. The reversal of 13131228 is 82213131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2488 + ... + 5696.

It is an arithmetic number, because the mean of its divisors is an integer number (719040).

Almost surely, 213131228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17256960).

13131228 is an abundant number, since it is smaller than the sum of its proper divisors (21382692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131228 is a wasteful number, since it uses less digits than its factorization.

13131228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3258 (or 3256 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 13131228 is about 3623.7036302656. The cubic root of 13131228 is about 235.9220033358.

Adding to 13131228 its reverse (82213131), we get a palindrome (95344359).

The spelling of 13131228 in words is "thirteen million, one hundred thirty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 3209 4092 6418 9627 12836 19254 35299 38508 70598 99479 105897 141196 198958 211794 298437 397916 423588 596874 1094269 1193748 2188538 3282807 4377076 6565614 13131228