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132132222120 = 233519732573089
BaseRepresentation
bin111101100001110110…
…0011011010010101000
3110122001112002100111110
41323003230123102220
54131101322101440
6140411204030320
712355234233243
oct1730354332250
9418045070443
10132132222120
1151045216178
12217369923a0
13c5c9864c22
14657674225a
153685143080
hex1ec3b1b4a8

132132222120 has 256 divisors, whose sum is σ = 424758816000. Its totient is φ = 32784777216.

The previous prime is 132132222107. The next prime is 132132222161. The reversal of 132132222120 is 21222231231.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 42773536 + ... + 42776624.

It is an arithmetic number, because the mean of its divisors is an integer number (1659214125).

Almost surely, 2132132222120 is an apocalyptic number.

132132222120 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 132132222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212379408000).

132132222120 is an abundant number, since it is smaller than the sum of its proper divisors (292626593880).

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

132132222120 is a wasteful number, since it uses less digits than its factorization.

132132222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3448 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132132222120 its reverse (21222231231), we get a palindrome (153354453351).

The spelling of 132132222120 in words is "one hundred thirty-two billion, one hundred thirty-two million, two hundred twenty-two thousand, one hundred twenty".