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132222121100300 = 225272112699119333
BaseRepresentation
bin11110000100000101011100…
…100011110100010000001100
3122100011022101221220011002102
4132010011130203310100030
5114312311401000202200
61145114000501014232
736564506264335400
oct3604053443642014
9570138357804072
10132222121100300
11391480a5379290
12129b56489b4378
1358a16530ab38a
1424918289d5100
151044602a9a6d5
hex78415c8f440c

132222121100300 has 216 divisors, whose sum is σ = 365462416877040. Its totient is φ = 41058880396800.

The previous prime is 132222121100299. The next prime is 132222121100317. The reversal of 132222121100300 is 3001121222231.

132222121100300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 71 ways as a sum of consecutive naturals, for example, 9939434 + ... + 19058766.

It is an arithmetic number, because the mean of its divisors is an integer number (1691955633690).

Almost surely, 2132222121100300 is an apocalyptic number.

132222121100300 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 132222121100300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182731208438520).

132222121100300 is an abundant number, since it is smaller than the sum of its proper divisors (233240295776740).

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

132222121100300 is a wasteful number, since it uses less digits than its factorization.

132222121100300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119641 (or 9119627 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132222121100300 its reverse (3001121222231), we get a palindrome (135223242322531).

The spelling of 132222121100300 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred thousand, three hundred".