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131324382 = 23371033373
BaseRepresentation
bin1111101001111…
…01100111011110
3100011002222012000
413310331213132
5232104340012
621010423130
73153144630
oct764754736
9304088160
10131324382
1168146a52
1237b91aa6
1321290547
1413626a50
15b7e0ddc
hex7d3d9de

131324382 has 64 divisors (see below), whose sum is σ = 336860160. Its totient is φ = 37145952.

The previous prime is 131324381. The next prime is 131324387. The reversal of 131324382 is 283423131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37248 + ... + 40620.

It is an arithmetic number, because the mean of its divisors is an integer number (5263440).

Almost surely, 2131324382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131324382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168430080).

131324382 is an abundant number, since it is smaller than the sum of its proper divisors (205535778).

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

131324382 is a wasteful number, since it uses less digits than its factorization.

131324382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3488 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 131324382 is about 11459.6850742069. The cubic root of 131324382 is about 508.2941623016.

The spelling of 131324382 in words is "one hundred thirty-one million, three hundred twenty-four thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 103 126 189 206 309 378 618 721 927 1442 1854 2163 2781 3373 4326 5562 6489 6746 10119 12978 19467 20238 23611 30357 38934 47222 60714 70833 91071 141666 182142 212499 347419 424998 637497 694838 1042257 1274994 2084514 2431933 3126771 4863866 6253542 7295799 9380313 14591598 18760626 21887397 43774794 65662191 131324382