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131310340 = 22572713461
BaseRepresentation
bin1111101001110…
…10001100000100
3100011002020220221
413310322030010
5232103412330
621010234124
73153055660
oct764721404
9304066827
10131310340
1168137447
1237b85944
1321287035
14136218a0
15b7dbb7a
hex7d3a304

131310340 has 48 divisors (see below), whose sum is σ = 316399104. Its totient is φ = 44841600.

The previous prime is 131310337. The next prime is 131310359. The reversal of 131310340 is 43013131.

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, 36210 + ... + 39670.

It is an arithmetic number, because the mean of its divisors is an integer number (6591648).

Almost surely, 2131310340 is an apocalyptic number.

131310340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131310340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158199552).

131310340 is an abundant number, since it is smaller than the sum of its proper divisors (185088764).

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

131310340 is a wasteful number, since it uses less digits than its factorization.

131310340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 131310340 is about 11459.0723882869. The cubic root of 131310340 is about 508.2760450235.

Adding to 131310340 its reverse (43013131), we get a palindrome (174323471).

The spelling of 131310340 in words is "one hundred thirty-one million, three hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 271 542 1084 1355 1897 2710 3461 3794 5420 6922 7588 9485 13844 17305 18970 24227 34610 37940 48454 69220 96908 121135 242270 484540 937931 1875862 3751724 4689655 6565517 9379310 13131034 18758620 26262068 32827585 65655170 131310340