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131303232 = 26323761101
BaseRepresentation
bin1111101001110…
…00011101000000
3100011001220011200
413310320131000
5232103200412
621010141200
73153026154
oct764703500
9304056150
10131303232
1168132075
1237b81800
1321283a28
141361d064
15b7d99dc
hex7d38740

131303232 has 168 divisors, whose sum is σ = 396755112. Its totient is φ = 41472000.

The previous prime is 131303203. The next prime is 131303239. The reversal of 131303232 is 232303131.

131303232 is a `hidden beast` number, since 131 + 303 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43243776 + 88059456 = 6576^2 + 9384^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303239) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1299982 + ... + 1300082.

Almost surely, 2131303232 is an apocalyptic number.

131303232 is a gapful number since it is divisible by the number (12) 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 131303232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198377556).

131303232 is an abundant number, since it is smaller than the sum of its proper divisors (265451880).

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

131303232 is a wasteful number, since it uses less digits than its factorization.

131303232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131303232 is about 11458.7622368212. The cubic root of 131303232 is about 508.2668736429.

Adding to 131303232 its reverse (232303131), we get a palindrome (363606363).

The spelling of 131303232 in words is "one hundred thirty-one million, three hundred three thousand, two hundred thirty-two".