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132220084802112 = 2634431449313171
BaseRepresentation
bin11110000100000011100011…
…001011111101001001000000
3122100011010011001020111010000
4132010003203023331021000
5114312243213202131422
61145113022440040000
736564404650154106
oct3604034313751100
9570133131214100
10132220084802112
113914724a99a31a
12129b517aa63000
1358a13ba2653c8
1424916b43abc76
151044533e17cac
hex7840e32fd240

132220084802112 has 280 divisors, whose sum is σ = 392968399646592. Its totient is φ = 43957978905600.

The previous prime is 132220084802107. The next prime is 132220084802137. The reversal of 132220084802112 is 211208480022231.

It is a happy number.

132220084802112 is a `hidden beast` number, since 132 + 2 + 20 + 0 + 8 + 480 + 21 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 10038721287 + ... + 10038734457.

Almost surely, 2132220084802112 is an apocalyptic number.

132220084802112 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 132220084802112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196484199823296).

132220084802112 is an abundant number, since it is smaller than the sum of its proper divisors (260748314844480).

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

132220084802112 is a wasteful number, since it uses less digits than its factorization.

132220084802112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18119 (or 18100 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 132220084802112 in words is "one hundred thirty-two trillion, two hundred twenty billion, eighty-four million, eight hundred two thousand, one hundred twelve".