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132033201120 = 2534531328637
BaseRepresentation
bin111101011110111001…
…0101100001111100000
3110121210121202120020000
41322331302230033200
54130400444413440
6140353305420000
712352622456262
oct1727562541740
9417717676200
10132033201120
1150aa4333237
122170979a600
13c5b21a4c12
146567527b32
15367b5d3730
hex1ebdcac3e0

132033201120 has 240 divisors, whose sum is σ = 480999835008. Its totient is φ = 34072980480.

The previous prime is 132033201119. The next prime is 132033201133. The reversal of 132033201120 is 21102330231.

132033201120 is a `hidden beast` number, since 1 + 320 + 3 + 320 + 1 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 132033201093 and 132033201102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 237442 + ... + 566078.

Almost surely, 2132033201120 is an apocalyptic number.

132033201120 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 132033201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240499917504).

132033201120 is an abundant number, since it is smaller than the sum of its proper divisors (348966633888).

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

132033201120 is a wasteful number, since it uses less digits than its factorization.

132033201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328695 (or 328678 counting only the distinct ones).

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

Adding to 132033201120 its reverse (21102330231), we get a palindrome (153135531351).

The spelling of 132033201120 in words is "one hundred thirty-two billion, thirty-three million, two hundred one thousand, one hundred twenty".