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131324388 = 2231317232153
BaseRepresentation
bin1111101001111…
…01100111100100
3100011002222012020
413310331213210
5232104340023
621010423140
73153144636
oct764754744
9304088166
10131324388
1168146a58
1237b91ab0
1321290550
1413626a56
15b7e0de3
hex7d3d9e4

131324388 has 96 divisors (see below), whose sum is σ = 364766976. Its totient is φ = 36360192.

The previous prime is 131324387. The next prime is 131324423. The reversal of 131324388 is 883423131.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131324381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59920 + ... + 62072.

It is an arithmetic number, because the mean of its divisors is an integer number (3799656).

Almost surely, 2131324388 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 131324388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182383488).

131324388 is an abundant number, since it is smaller than the sum of its proper divisors (233442588).

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

131324388 is a wasteful number, since it uses less digits than its factorization.

131324388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213 (or 2211 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 131324388 is about 11459.6853359942. The cubic root of 131324388 is about 508.2941700426.

The spelling of 131324388 in words is "one hundred thirty-one million, three hundred twenty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 68 69 78 92 102 138 156 204 221 276 299 391 442 598 663 782 884 897 1173 1196 1326 1564 1794 2153 2346 2652 3588 4306 4692 5083 6459 8612 10166 12918 15249 20332 25836 27989 30498 36601 49519 55978 60996 73202 83967 99038 109803 111956 146404 148557 167934 198076 219606 297114 335868 439212 475813 594228 643747 841823 951626 1287494 1427439 1683646 1903252 1931241 2525469 2574988 2854878 3367292 3862482 5050938 5709756 7724964 10101876 10943699 21887398 32831097 43774796 65662194 131324388