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131232321000 = 233253111325579
BaseRepresentation
bin111101000111000001…
…1100100110111101000
3110112201210202122020100
41322032003210313220
54122230433233000
6140142020025400
712324026215644
oct1721603446750
9415653678210
10131232321000
1150723251140
1221525532260
13c4b52a4561
1464cd00dc24
153631135a00
hex1e8e0e4de8

131232321000 has 192 divisors, whose sum is σ = 483889723200. Its totient is φ = 31813872000.

The previous prime is 131232320957. The next prime is 131232321007. The reversal of 131232321000 is 123232131.

131232321000 is a `hidden beast` number, since 1 + 312 + 32 + 321 + 0 + 0 + 0 = 666.

131232321000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (131232321007) 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 47 ways as a sum of consecutive naturals, for example, 563790 + ... + 761789.

It is an arithmetic number, because the mean of its divisors is an integer number (2520258975).

Almost surely, 2131232321000 is an apocalyptic number.

131232321000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131232321000 is an abundant number, since it is smaller than the sum of its proper divisors (352657402200).

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

131232321000 is a wasteful number, since it uses less digits than its factorization.

131232321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325617 (or 1325600 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131232321000 its reverse (123232131), we get a palindrome (131355553131).

The spelling of 131232321000 in words is "one hundred thirty-one billion, two hundred thirty-two million, three hundred twenty-one thousand".