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111131104 = 2571812741
BaseRepresentation
bin1101001111110…
…11100111100000
321202010001012211
412213323213200
5211422143404
615005531504
72516412250
oct647734740
9252101184
10111131104
1157804497
1231273b94
131a040166
1410a8b960
159b52b04
hex69fb9e0

111131104 has 48 divisors (see below), whose sum is σ = 251518176. Its totient is φ = 47347200.

The previous prime is 111131087. The next prime is 111131123. The reversal of 111131104 is 401131111.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39174 + ... + 41914.

It is an arithmetic number, because the mean of its divisors is an integer number (5239962).

Almost surely, 2111131104 is an apocalyptic number.

111131104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125759088).

111131104 is an abundant number, since it is smaller than the sum of its proper divisors (140387072).

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

111131104 is a wasteful number, since it uses less digits than its factorization.

111131104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 111131104 is about 10541.8738372265. The cubic root of 111131104 is about 480.7786897752.

Adding to 111131104 its reverse (401131111), we get a palindrome (512262215).

The spelling of 111131104 in words is "one hundred eleven million, one hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 181 224 362 724 1267 1448 2534 2741 2896 5068 5482 5792 10136 10964 19187 20272 21928 38374 40544 43856 76748 87712 153496 306992 496121 613984 992242 1984484 3472847 3968968 6945694 7937936 13891388 15875872 27782776 55565552 111131104