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11113113231 = 3211217235311
BaseRepresentation
bin10100101100110010…
…01010011010001111
31001200111021122102100
422112121022122033
5140224424110411
65034424330143
7542251622013
oct122631123217
931614248370
1011113113231
114793076500
1221a1913953
1310814aca5c
14775d16543
15450984456
hex29664a68f

11113113231 has 54 divisors (see below), whose sum is σ = 18743715536. Its totient is φ = 6338851200.

The previous prime is 11113113217. The next prime is 11113113233. The reversal of 11113113231 is 13231131111.

11113113231 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 11113113231 - 27 = 11113113103 is a prime.

It is a super-2 number, since 2×111131132312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113113233) 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 53 ways as a sum of consecutive naturals, for example, 297066 + ... + 332376.

Almost surely, 211113113231 is an apocalyptic number.

11113113231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11113113231 is a deficient number, since it is larger than the sum of its proper divisors (7630602305).

11113113231 is a wasteful number, since it uses less digits than its factorization.

11113113231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35373 (or 35342 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 11113113231 its reverse (13231131111), we get a palindrome (24344244342).

The spelling of 11113113231 in words is "eleven billion, one hundred thirteen million, one hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 99 121 153 187 289 363 561 867 1089 1683 2057 2601 3179 6171 9537 18513 28611 34969 35311 104907 105933 314721 317799 388421 600287 1165263 1800861 3495789 4272631 5402583 6603157 10204879 12817893 19809471 30614637 38453679 59428413 72634727 91843911 112253669 217904181 336761007 653712543 1010283021 1234790359 3704371077 11113113231