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11141113011 = 3719227123007
BaseRepresentation
bin10100110000000111…
…11110010010110011
31001202102222011220020
422120003332102303
5140304111104021
65041304414523
7543041620020
oct123003762263
931672864806
1011141113011
1147a7960116
1221ab177443
131087234482
14779924547
154531657c6
hex2980fe4b3

11141113011 has 32 divisors (see below), whose sum is σ = 17949327360. Its totient is φ = 6004660896.

The previous prime is 11141113003. The next prime is 11141113021. The reversal of 11141113011 is 11031114111.

11141113011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11141113011 - 23 = 11141113003 is a prime.

It is a super-2 number, since 2×111411130112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11141113021) 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 31 ways as a sum of consecutive naturals, for example, 29070 + ... + 152076.

It is an arithmetic number, because the mean of its divisors is an integer number (560916480).

Almost surely, 211141113011 is an apocalyptic number.

11141113011 is a deficient number, since it is larger than the sum of its proper divisors (6808214349).

11141113011 is a wasteful number, since it uses less digits than its factorization.

11141113011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123263.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 11141113011 its reverse (11031114111), we get a palindrome (22172227122).

The spelling of 11141113011 in words is "eleven billion, one hundred forty-one million, one hundred thirteen thousand, eleven".

Divisors: 1 3 7 19 21 57 133 227 399 681 1589 4313 4767 12939 30191 90573 123007 369021 861049 2337133 2583147 7011399 16359931 27922589 49079793 83767767 195458123 530529191 586374369 1591587573 3713704337 11141113011