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132011130132 = 223371771144671
BaseRepresentation
bin111101011110001111…
…0011111110100010100
3110121202002020020112000
41322330132133310110
54130324322131012
6140351200355300
712352234043340
oct1727436376424
9417662206460
10132011130132
1150a92928a52
1221702315b30
13c5aa747c6b
146564620620
1536796c3ddc
hex1ebc79fd14

132011130132 has 192 divisors, whose sum is σ = 419988602880. Its totient is φ = 34998566400.

The previous prime is 132011130089. The next prime is 132011130133. The reversal of 132011130132 is 231031110231.

132011130132 is a `hidden beast` number, since 1 + 320 + 1 + 11 + 301 + 32 = 666.

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 (132011130133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 840157 + ... + 984827.

It is an arithmetic number, because the mean of its divisors is an integer number (2187440640).

Almost surely, 2132011130132 is an apocalyptic number.

132011130132 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 132011130132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209994301440).

132011130132 is an abundant number, since it is smaller than the sum of its proper divisors (287977472748).

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

132011130132 is a wasteful number, since it uses less digits than its factorization.

132011130132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144779 (or 144771 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132011130132 its reverse (231031110231), we get a palindrome (363042240363).

The spelling of 132011130132 in words is "one hundred thirty-two billion, eleven million, one hundred thirty thousand, one hundred thirty-two".