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11222032133 = 13345711177
BaseRepresentation
bin10100111001110001…
…01001111100000101
31001222002020022001202
422130320221330011
5140440320012013
65053315032245
7545043461564
oct123470517405
931862208052
1011222032133
1148395a9924
12221229b685
13109ac27000
14786589bdb
1545a2eb858
hex29ce29f05

11222032133 has 16 divisors (see below), whose sum is σ = 12184467120. Its totient is φ = 10335207168.

The previous prime is 11222032117. The next prime is 11222032169. The reversal of 11222032133 is 33123022211.

11222032133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3187957444 + 8034074689 = 56462^2 + 89633^2 .

It is not a de Polignac number, because 11222032133 - 24 = 11222032117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222034133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 998441 + ... + 1009617.

It is an arithmetic number, because the mean of its divisors is an integer number (761529195).

Almost surely, 211222032133 is an apocalyptic number.

11222032133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11222032133 is a deficient number, since it is larger than the sum of its proper divisors (962434987).

11222032133 is an equidigital number, since it uses as much as digits as its factorization.

11222032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11673 (or 11647 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 11222032133 its reverse (33123022211), we get a palindrome (44345054344).

The spelling of 11222032133 in words is "eleven billion, two hundred twenty-two million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 13 169 457 2197 5941 11177 77233 145301 1004029 1888913 5107889 24555869 66402557 863233241 11222032133