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11113631111 = 112295953681
BaseRepresentation
bin10100101100110110…
…01000110110000111
31001200112020221211002
422112123020312013
5140230042143421
65034443403515
7542256206612
oct122633106607
931615227732
1011113631111
11479339a600
1221a1b2359b
1310816316ab
1477600d179
15450a37b0b
hex2966c8d87

11113631111 has 24 divisors (see below), whose sum is σ = 12851470800. Its totient is φ = 9589395200.

The previous prime is 11113631083. The next prime is 11113631117.

11113631111 is nontrivially palindromic in base 10.

11113631111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11113631111 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 (11113631117) 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, 180191 + ... + 233871.

It is an arithmetic number, because the mean of its divisors is an integer number (535477950).

Almost surely, 211113631111 is an apocalyptic number.

11113631111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11113631111 is a deficient number, since it is larger than the sum of its proper divisors (1737839689).

11113631111 is a wasteful number, since it uses less digits than its factorization.

11113631111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53791 (or 53780 counting only the distinct ones).

The product of its digits is 54, while the sum is 20.

The spelling of 11113631111 in words is "eleven billion, one hundred thirteen million, six hundred thirty-one thousand, one hundred eleven".

Divisors: 1 11 29 59 121 319 649 1711 3509 7139 18821 53681 207031 590491 1556749 3167179 6495401 17124239 34838969 91848191 188366629 383228659 1010330101 11113631111