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131303424 = 211374371
BaseRepresentation
bin1111101001110…
…00100000000000
3100011001220102210
413310320200000
5232103202144
621010142120
73153026550
oct764704000
9304056383
10131303424
116813222a
1237b81940
1321283b45
141361d160
15b7d9ab9
hex7d38800

131303424 has 192 divisors, whose sum is σ = 415134720. Its totient is φ = 36126720.

The previous prime is 131303407. The next prime is 131303441. The reversal of 131303424 is 424303131.

It is an interprime number because it is at equal distance from previous prime (131303407) and next prime (131303441).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 131303424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1849309 + ... + 1849379.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2131303424 is an apocalyptic number.

131303424 is a gapful number since it is divisible by the number (14) 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 131303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207567360).

131303424 is an abundant number, since it is smaller than the sum of its proper divisors (283831296).

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

131303424 is an equidigital number, since it uses as much as digits as its factorization.

131303424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 131303424 is about 11458.7706146864. The cubic root of 131303424 is about 508.2671213829.

Adding to 131303424 its reverse (424303131), we get a palindrome (555606555).

The spelling of 131303424 in words is "one hundred thirty-one million, three hundred three thousand, four hundred twenty-four".