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132134422200 = 233521137717621
BaseRepresentation
bin111101100001111010…
…0110100011010111000
3110122001200020010102220
41323003310310122320
54131102403002300
6140411323124040
712355262025414
oct1730364643270
9418050203386
10132134422200
1151046489120
1221737673620
13c5ca155451
146576b55d44
153685429da0
hex1ec3d346b8

132134422200 has 384 divisors, whose sum is σ = 465456637440. Its totient is φ = 30723840000.

The previous prime is 132134422183. The next prime is 132134422291. The reversal of 132134422200 is 2224431231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 17334390 + ... + 17342010.

It is an arithmetic number, because the mean of its divisors is an integer number (1212126660).

Almost surely, 2132134422200 is an apocalyptic number.

132134422200 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 132134422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232728318720).

132134422200 is an abundant number, since it is smaller than the sum of its proper divisors (333322215240).

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

132134422200 is a wasteful number, since it uses less digits than its factorization.

132134422200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7759 (or 7750 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 132134422200 its reverse (2224431231), we get a palindrome (134358853431).

The spelling of 132134422200 in words is "one hundred thirty-two billion, one hundred thirty-four million, four hundred twenty-two thousand, two hundred".