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11144222244111 = 3112913983776657
BaseRepresentation
bin1010001000101011011101…
…1010000111110100001111
31110110101012000020210010010
42202022313122013310033
52430041331343302421
635411330210444303
72230100134060245
oct242126732076417
943411160223103
1011144222244111
113607268a225a0
1212bb9a9593693
1362ab8497c738
142a755184a795
15144d47e01076
hexa22b7687d0f

11144222244111 has 32 divisors (see below), whose sum is σ = 16889374252800. Its totient is φ = 6474259975680.

The previous prime is 11144222244073. The next prime is 11144222244121.

It is a happy number.

11144222244111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11144222244111 - 210 = 11144222243087 is a prime.

It is a super-2 number, since 2×111442222441112 (a number of 27 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144222244121) 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 31 ways as a sum of consecutive naturals, for example, 41755306 + ... + 42021351.

It is an arithmetic number, because the mean of its divisors is an integer number (527792945400).

Almost surely, 211144222244111 is an apocalyptic number.

11144222244111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11144222244111 is a deficient number, since it is larger than the sum of its proper divisors (5745152008689).

11144222244111 is a wasteful number, since it uses less digits than its factorization.

11144222244111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83776839.

The product of its digits is 4096, while the sum is 30.

It can be divided in two parts, 1114422 and 2244111, that added together give a palindrome (3358533).

The spelling of 11144222244111 in words is "eleven trillion, one hundred forty-four billion, two hundred twenty-two million, two hundred forty-four thousand, one hundred eleven".

Divisors: 1 3 11 29 33 87 139 319 417 957 1529 4031 4587 12093 44341 133023 83776657 251329971 921543227 2429523053 2764629681 7288569159 11644955323 26724753583 34934865969 80174260749 128094508553 337703704367 384283525659 1013111113101 3714740748037 11144222244111