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132020212200 = 233525313673037
BaseRepresentation
bin111101011110100000…
…1001001000111101000
3110121202201022122202220
41322331001021013220
54130334133242300
6140352123154040
712352404200562
oct1727501110750
9417681278686
10132020212200
1150a97a71498
1221705375920
13c5ac5a7a76
146565906332
15367a3b9da0
hex1ebd0491e8

132020212200 has 192 divisors, whose sum is σ = 417427032960. Its totient is φ = 34504504320.

The previous prime is 132020212193. The next prime is 132020212211. The reversal of 132020212200 is 2212020231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132020212200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43469082 + ... + 43472118.

It is an arithmetic number, because the mean of its divisors is an integer number (2174099130).

Almost surely, 2132020212200 is an apocalyptic number.

132020212200 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 132020212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208713516480).

132020212200 is an abundant number, since it is smaller than the sum of its proper divisors (285406820760).

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

132020212200 is a wasteful number, since it uses less digits than its factorization.

132020212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 132020212200 its reverse (2212020231), we get a palindrome (134232232431).

The spelling of 132020212200 in words is "one hundred thirty-two billion, twenty million, two hundred twelve thousand, two hundred".