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11120000112 = 2434131275197
BaseRepresentation
bin10100101101100110…
…11011110001110000
31001200222020112110000
422112303123301300
5140233210000422
65035232110000
7542364304254
oct122663336160
931628215400
1011120000112
114796a4a741
1221a4095300
131082a51630
14776bca264
15451394cac
hex296cdbc70

11120000112 has 200 divisors, whose sum is σ = 34939874816. Its totient is φ = 3393944064.

The previous prime is 11120000093. The next prime is 11120000113. The reversal of 11120000112 is 21100002111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11120000094 and 11120000103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120000113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2137098 + ... + 2142294.

Almost surely, 211120000112 is an apocalyptic number.

11120000112 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 11120000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17469937408).

11120000112 is an abundant number, since it is smaller than the sum of its proper divisors (23819874704).

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

11120000112 is a wasteful number, since it uses less digits than its factorization.

11120000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5357 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11120000112 its reverse (21100002111), we get a palindrome (32220002223).

The spelling of 11120000112 in words is "eleven billion, one hundred twenty million, one hundred twelve", and thus it is an aban number.