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11332222102133 = 531013626958369
BaseRepresentation
bin1010010011100111110100…
…0100101010101001110101
31111010100110001011002111122
42210321331010222221311
52441131342324232013
640033541224113325
72246504012356502
oct244717504525165
944110401132448
1011332222102133
113679a71a45489
121330316305845
13642815ab758a
142b26a7cb44a9
15149b9cac7a08
hexa4e7d12aa75

11332222102133 has 16 divisors (see below), whose sum is σ = 11660876089200. Its totient is φ = 11007831244800.

The previous prime is 11332222102129. The next prime is 11332222102163. The reversal of 11332222102133 is 33120122223311.

It can be written as a sum of positive squares in 8 ways, for example, as 5284449256849 + 6047772845284 = 2298793^2 + 2459222^2 .

It is a cyclic number.

It is not a de Polignac number, because 11332222102133 - 22 = 11332222102129 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 (11332222102163) 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, 194118773 + ... + 194177141.

It is an arithmetic number, because the mean of its divisors is an integer number (728804755575).

Almost surely, 211332222102133 is an apocalyptic number.

It is an amenable number.

11332222102133 is a deficient number, since it is larger than the sum of its proper divisors (328653987067).

11332222102133 is a wasteful number, since it uses less digits than its factorization.

11332222102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94792.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 11332222102133 its reverse (33120122223311), we get a palindrome (44452344325444).

The spelling of 11332222102133 in words is "eleven trillion, three hundred thirty-two billion, two hundred twenty-two million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 53 101 5353 36269 58369 1922257 3093557 3663169 5895269 194147957 312449257 2116985261 112200218833 213815511361 11332222102133