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11232200223211 = 114314435347997
BaseRepresentation
bin1010001101110011001101…
…0011011110100111101011
31110202210021100100012000111
42203130303103132213223
52433012021224120321
635520000200115151
72236333251415162
oct243346323364753
943683240305014
1011232200223211
113640605226430
121314a61165ab7
136362658b7436
142ab8d9d9a3d9
151472969ba5e1
hexa37334de9eb

11232200223211 has 16 divisors (see below), whose sum is σ = 12309465604608. Its totient is φ = 10164401197600.

The previous prime is 11232200223203. The next prime is 11232200223221.

11232200223211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11232200223211 - 23 = 11232200223203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11232200223221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573736 + ... + 4774261.

It is an arithmetic number, because the mean of its divisors is an integer number (769341600288).

Almost surely, 211232200223211 is an apocalyptic number.

11232200223211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11232200223211 is a deficient number, since it is larger than the sum of its proper divisors (1077265381397).

11232200223211 is a wasteful number, since it uses less digits than its factorization.

11232200223211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5348882.

The product of its (nonzero) digits is 576, while the sum is 22.

It can be divided in two parts, 11232200 and 223211, that added together give a palindrome (11455411).

The spelling of 11232200223211 in words is "eleven trillion, two hundred thirty-two billion, two hundred million, two hundred twenty-three thousand, two hundred eleven".

Divisors: 1 11 431 443 4741 4873 190933 2100263 5347997 58827967 2304986707 2369162671 25354853777 26060789381 1021109111201 11232200223211