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11121022133 = 131974342453
BaseRepresentation
bin10100101101101110…
…10101010010110101
31001201001011110101122
422112313111102311
5140233440202013
65035310033325
7542406062024
oct122667252265
931631143348
1011121022133
114797588591
1221a44a8845
13108301b890
14776db48bb
154514e7a08
hex296dd54b5

11121022133 has 8 divisors (see below), whose sum is σ = 12037282488. Its totient is φ = 10213447104.

The previous prime is 11121022127. The next prime is 11121022139. The reversal of 11121022133 is 33122012111.

It is an interprime number because it is at equal distance from previous prime (11121022127) and next prime (11121022139).

It can be written as a sum of positive squares in 4 ways, for example, as 293162884 + 10827859249 = 17122^2 + 104057^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11121022133 - 24 = 11121022117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121022139) 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 7 ways as a sum of consecutive naturals, for example, 2168666 + ... + 2173787.

It is an arithmetic number, because the mean of its divisors is an integer number (1504660311).

Almost surely, 211121022133 is an apocalyptic number.

11121022133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11121022133 is a deficient number, since it is larger than the sum of its proper divisors (916260355).

11121022133 is a wasteful number, since it uses less digits than its factorization.

11121022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342663.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 11121022133 its reverse (33122012111), we get a palindrome (44243034244).

The spelling of 11121022133 in words is "eleven billion, one hundred twenty-one million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 13 197 2561 4342453 56451889 855463241 11121022133