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2211221230020 = 22325112175972077
BaseRepresentation
bin100000001011010111000…
…011100101000111000100
321211101112210212002020100
4200023113003211013010
5242212040113330040
64411453201004100
7315520060223265
oct40132703450704
97741483762210
102211221230020
11782856813200
122b8671623630
1313069558940a
1479048d8c96c
153c7bb640b30
hex202d70e51c4

2211221230020 has 216 divisors, whose sum is σ = 7806246483672. Its totient is φ = 504520980480.

The previous prime is 2211221230019. The next prime is 2211221230151. The reversal of 2211221230020 is 200321221122.

2211221230020 is a `hidden beast` number, since 2 + 211 + 221 + 230 + 0 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 669670535556 + 1541550694464 = 818334^2 + 1241592^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2211221229975 and 2211221230002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2615779 + ... + 3356298.

It is an arithmetic number, because the mean of its divisors is an integer number (36140030017).

Almost surely, 22211221230020 is an apocalyptic number.

2211221230020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211221230020 is an abundant number, since it is smaller than the sum of its proper divisors (5595025253652).

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

2211221230020 is a wasteful number, since it uses less digits than its factorization.

2211221230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5972131 (or 5972115 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2211221230020 its reverse (200321221122), we get a palindrome (2411542451142).

The spelling of 2211221230020 in words is "two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred thirty thousand, twenty".