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132300132120 = 23325131091671553
BaseRepresentation
bin111101100110110110…
…0111100111100011000
3110122111020001001201100
41323031230330330120
54131422313211440
6140440002551400
712362343365622
oct1731554747430
9418436031640
10132300132120
1151120a80472
1221783068560
13c625594b60
146590b6dc12
153694c5e230
hex1ecdb3cf18

132300132120 has 384 divisors, whose sum is σ = 470399529600. Its totient is φ = 32053542912.

The previous prime is 132300132119. The next prime is 132300132227. The reversal of 132300132120 is 21231003231.

132300132120 is a `hidden beast` number, since 1 + 323 + 0 + 0 + 1 + 321 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132300132093 and 132300132102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85189264 + ... + 85190816.

It is an arithmetic number, because the mean of its divisors is an integer number (1224998775).

Almost surely, 2132300132120 is an apocalyptic number.

132300132120 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 132300132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235199764800).

132300132120 is an abundant number, since it is smaller than the sum of its proper divisors (338099397480).

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

132300132120 is a wasteful number, since it uses less digits than its factorization.

132300132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1852 counting only the distinct ones).

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

Adding to 132300132120 its reverse (21231003231), we get a palindrome (153531135351).

The spelling of 132300132120 in words is "one hundred thirty-two billion, three hundred million, one hundred thirty-two thousand, one hundred twenty".