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1131110112 = 253111139479
BaseRepresentation
bin100001101101011…
…0101111011100000
32220211101100101010
41003122311323200
54304031010422
6304123340520
740013164056
oct10332657340
92824340333
101131110112
11530533850
12276981740
13150454032
14aa31a1d6
156947db0c
hex436b5ee0

1131110112 has 96 divisors (see below), whose sum is σ = 3268097280. Its totient is φ = 339691520.

The previous prime is 1131110083. The next prime is 1131110179. The reversal of 1131110112 is 2110111311.

1131110112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114589 + ... + 124067.

It is an arithmetic number, because the mean of its divisors is an integer number (34042680).

Almost surely, 21131110112 is an apocalyptic number.

1131110112 is a gapful number since it is divisible by the number (12) 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 1131110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634048640).

1131110112 is an abundant number, since it is smaller than the sum of its proper divisors (2136987168).

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

1131110112 is a wasteful number, since it uses less digits than its factorization.

1131110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9616 (or 9608 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

The square root of 1131110112 is about 33631.9804947612. The cubic root of 1131110112 is about 1041.9214085481.

Adding to 1131110112 its reverse (2110111311), we get a palindrome (3241221423).

The spelling of 1131110112 in words is "one billion, one hundred thirty-one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 113 132 176 226 264 339 352 452 528 678 904 1056 1243 1356 1808 2486 2712 3616 3729 4972 5424 7458 9479 9944 10848 14916 18958 19888 28437 29832 37916 39776 56874 59664 75832 104269 113748 119328 151664 208538 227496 303328 312807 417076 454992 625614 834152 909984 1071127 1251228 1668304 2142254 2502456 3213381 3336608 4284508 5004912 6426762 8569016 10009824 11782397 12853524 17138032 23564794 25707048 34276064 35347191 47129588 51414096 70694382 94259176 102828192 141388764 188518352 282777528 377036704 565555056 1131110112