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11225044052211 = 3112911729408623
BaseRepresentation
bin1010001101011000100011…
…0000110110100011110011
31110202002210121202000220010
42203112020300312203303
52432402342234132321
635512414122350003
72235661025104653
oct243261060664363
943662717660803
1011225044052211
113638572805220
1213135a465b303
13635695131822
142ab41b7ca363
15146ec8603676
hexa3588c368f3

11225044052211 has 16 divisors (see below), whose sum is σ = 16890348418560. Its totient is φ = 6568468828320.

The previous prime is 11225044052191. The next prime is 11225044052219.

11225044052211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11225044052211 - 26 = 11225044052147 is a prime.

It is a super-2 number, since 2×112250440522112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11225044052219) 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, 5864703355 + ... + 5864705268.

It is an arithmetic number, because the mean of its divisors is an integer number (1055646776160).

Almost surely, 211225044052211 is an apocalyptic number.

11225044052211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11225044052211 is a deficient number, since it is larger than the sum of its proper divisors (5665304366349).

11225044052211 is a wasteful number, since it uses less digits than its factorization.

11225044052211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729408666.

The product of its (nonzero) digits is 6400, while the sum is 30.

It can be divided in two parts, 1122504 and 4052211, that added together give a palindrome (5174715).

The spelling of 11225044052211 in words is "eleven trillion, two hundred twenty-five billion, forty-four million, fifty-two thousand, two hundred eleven".

Divisors: 1 3 11 29 33 87 319 957 11729408623 35188225869 129023494853 340152850067 387070484559 1020458550201 3741681350737 11225044052211