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11112144131 = 1117319729641
BaseRepresentation
bin10100101100101010…
…11101110100000011
31001200102110102001202
422112111131310003
5140224202103011
65034351451415
7542240444444
oct122625356403
931612412052
1011112144131
1147925743a0
1221a1526b6b
13108123091a
14775b432cb
1545084223b
hex29655dd03

11112144131 has 16 divisors (see below), whose sum is σ = 12254714208. Its totient is φ = 9992236800.

The previous prime is 11112144089. The next prime is 11112144143. The reversal of 11112144131 is 13144121111.

11112144131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11112144131 is a prime.

It is a super-2 number, since 2×111121441312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11112144181) 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, 360071 + ... + 389711.

It is an arithmetic number, because the mean of its divisors is an integer number (765919638).

Almost surely, 211112144131 is an apocalyptic number.

11112144131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11112144131 is a deficient number, since it is larger than the sum of its proper divisors (1142570077).

11112144131 is a wasteful number, since it uses less digits than its factorization.

11112144131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30022.

The product of its digits is 96, while the sum is 20.

Adding to 11112144131 its reverse (13144121111), we get a palindrome (24256265242).

The spelling of 11112144131 in words is "eleven billion, one hundred twelve million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 11 173 197 1903 2167 29641 34081 326051 374891 5127893 5839277 56406823 64232047 1010194921 11112144131