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111131012268 = 22327434154741
BaseRepresentation
bin110011101111111101…
…1001010110010101100
3101121211220121100112100
41213133323022302230
53310044014343033
6123015231135100
711012634006213
oct1473773126254
9347756540470
10111131012268
11431486173a1
1219655674490
13a630918533
1455434b607a
152d56557513
hex19dfecacac

111131012268 has 36 divisors (see below), whose sum is σ = 281292652368. Its totient is φ = 36993804960.

The previous prime is 111131012263. The next prime is 111131012269. The reversal of 111131012268 is 862210131111.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (111131012263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2050623 + ... + 2104118.

It is an arithmetic number, because the mean of its divisors is an integer number (7813684788).

Almost surely, 2111131012268 is an apocalyptic number.

111131012268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

111131012268 is an abundant number, since it is smaller than the sum of its proper divisors (170161640100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111131012268 is a wasteful number, since it uses less digits than its factorization.

111131012268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155494 (or 4155489 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

Adding to 111131012268 its reverse (862210131111), we get a palindrome (973341143379).

The spelling of 111131012268 in words is "one hundred eleven billion, one hundred thirty-one million, twelve thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 743 1486 2229 2972 4458 6687 8916 13374 26748 4154741 8309482 12464223 16618964 24928446 37392669 49856892 74785338 149570676 3086972563 6173945126 9260917689 12347890252 18521835378 27782753067 37043670756 55565506134 111131012268