Search a number
-
+
11132044023111 = 3111430323584889
BaseRepresentation
bin1010000111111110000110…
…0001111001010101000111
31110102012202021210001111220
42201333201201321111013
52424341411232214421
635401553533131423
72226156266644614
oct241774141712507
943365667701456
1011132044023111
113602089703940
1212b956b029b73
136299939179cb
142a6b182b950b
15144883bc93c6
hexa1fe1879547

11132044023111 has 16 divisors (see below), whose sum is σ = 16193196794880. Its totient is φ = 6746221363520.

The previous prime is 11132044023047. The next prime is 11132044023151.

11132044023111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 11132044023111 - 26 = 11132044023047 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132044023151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11320446 + ... + 12264443.

It is an arithmetic number, because the mean of its divisors is an integer number (1012074799680).

Almost surely, 211132044023111 is an apocalyptic number.

11132044023111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11132044023111 is a deficient number, since it is larger than the sum of its proper divisors (5061152771769).

11132044023111 is a wasteful number, since it uses less digits than its factorization.

11132044023111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23599206.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1113204 and 4023111, that added together give a palindrome (5136315).

The spelling of 11132044023111 in words is "eleven trillion, one hundred thirty-two billion, forty-four million, twenty-three thousand, one hundred eleven".

Divisors: 1 3 11 33 14303 42909 157333 471999 23584889 70754667 259433779 778301337 337334667367 1012004002101 3710681341037 11132044023111