Search a number
-
+
11242222224211 = 1119129318262427
BaseRepresentation
bin1010001110011000100010…
…1010011000001101010011
31110210202010210111120211201
42203212020222120031103
52433143032342133321
635524334450252031
72240136514132036
oct243461052301523
943722123446751
1011242222224211
1136448883a8090
121316999587017
136371a2008a44
142ac1ab00901d
15147681772291
hexa3988a98353

11242222224211 has 16 divisors (see below), whose sum is σ = 12370530428928. Its totient is φ = 10131993944800.

The previous prime is 11242222224209. The next prime is 11242222224217.

It is a happy number.

11242222224211 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11242222224211 - 21 = 11242222224209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11242222224211.

It is not an unprimeable number, because it can be changed into a prime (11242222224217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8515621 + ... + 9746806.

It is an arithmetic number, because the mean of its divisors is an integer number (773158151808).

Almost surely, 211242222224211 is an apocalyptic number.

11242222224211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11242222224211 is a deficient number, since it is larger than the sum of its proper divisors (1128308204717).

11242222224211 is a wasteful number, since it uses less digits than its factorization.

11242222224211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18262922.

The product of its digits is 4096, while the sum is 28.

It can be divided in two parts, 1124222 and 2224211, that added together give a palindrome (3348433).

The spelling of 11242222224211 in words is "eleven trillion, two hundred forty-two billion, two hundred twenty-two million, two hundred twenty-four thousand, two hundred eleven".

Divisors: 1 11 191 293 2101 3223 55963 615593 18262427 200886697 3488123557 5350891111 38369359127 58859802221 1022020202201 11242222224211