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11144304011 = 235389139739
BaseRepresentation
bin10100110000100000…
…01001010110001011
31001202122222022010102
422120100021112023
5140310420212021
65041501040015
7543111010151
oct123020112613
931678868112
1011144304011
1147a973a605
1221b025600b
131087ab0a39
1477a1153d1
1545359600b
hex29840958b

11144304011 has 32 divisors (see below), whose sum is σ = 12083904000. Its totient is φ = 10252839168.

The previous prime is 11144304001. The next prime is 11144304019. The reversal of 11144304011 is 11040344111.

11144304011 = 252 + 262 + ... + 32212.

It is a de Polignac number, because none of the positive numbers 2k-11144304011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11144304019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15079880 + ... + 15080618.

It is an arithmetic number, because the mean of its divisors is an integer number (377622000).

Almost surely, 211144304011 is an apocalyptic number.

11144304011 is a deficient number, since it is larger than the sum of its proper divisors (939599989).

11144304011 is a wasteful number, since it uses less digits than its factorization.

11144304011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11144304011 its reverse (11040344111), we get a palindrome (22184648122).

The spelling of 11144304011 in words is "eleven billion, one hundred forty-four million, three hundred four thousand, eleven".

Divisors: 1 23 53 89 139 739 1219 2047 3197 4717 7367 12371 16997 39167 65771 102721 108491 169441 284533 655663 900841 1512733 2362583 3485863 5444213 9142169 15080249 80174849 125216899 210269887 484534957 11144304011