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11142134341 = 1322913211721
BaseRepresentation
bin10100110000001111…
…10111101001000101
31001202111220001220021
422120013313221011
5140304341244331
65041342335141
7543053402452
oct123007675105
931674801807
1011142134341
1147a8498498
1221ab58a4b1
131087501300
14779b0c829
154532b8211
hex2981f7a45

11142134341 has 24 divisors (see below), whose sum is σ = 12497897160. Its totient is φ = 9917107200.

The previous prime is 11142134317. The next prime is 11142134387. The reversal of 11142134341 is 14343124111.

11142134341 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 12 ways, for example, as 1626912225 + 9515222116 = 40335^2 + 97546^2 .

It is not a de Polignac number, because 11142134341 - 211 = 11142132293 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 (11142114341) 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 23 ways as a sum of consecutive naturals, for example, 6473361 + ... + 6475081.

It is an arithmetic number, because the mean of its divisors is an integer number (520745715).

Almost surely, 211142134341 is an apocalyptic number.

It is an amenable number.

11142134341 is a deficient number, since it is larger than the sum of its proper divisors (1355762819).

11142134341 is a wasteful number, since it uses less digits than its factorization.

11142134341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3097 (or 3084 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

Adding to 11142134341 its reverse (14343124111), we get a palindrome (25485258452).

The spelling of 11142134341 in words is "eleven billion, one hundred forty-two million, one hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 13 29 169 377 1321 1721 4901 17173 22373 38309 49909 223249 290849 498017 648817 2273441 6474221 8434621 29554733 65929789 384211529 857087257 11142134341