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11121114112 = 21064116943
BaseRepresentation
bin10100101101101111…
…01011110000000000
31001201001100010120021
422112313223300000
5140234001122422
65035312023224
7542406624133
oct122667536000
931631303507
1011121114112
1147976406a9
1221a4531b14
1310830516c4
14776dda21a
15451514dc7
hex296debc00

11121114112 has 44 divisors (see below), whose sum is σ = 22267364256. Its totient is φ = 5551554560.

The previous prime is 11121114101. The next prime is 11121114113. The reversal of 11121114112 is 21141112111.

Adding to 11121114112 its reverse (21141112111), we get a palindrome (32262226223).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an insolite number, because it is divisible by the sum (32) and by the product (256) of the squares of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121114113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 647913 + ... + 664855.

Almost surely, 211121114112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11133682128).

11121114112 is an abundant number, since it is smaller than the sum of its proper divisors (11146250144).

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

11121114112 is an equidigital number, since it uses as much as digits as its factorization.

11121114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17604 (or 17586 counting only the distinct ones).

The product of its digits is 16, while the sum is 16.

The spelling of 11121114112 in words is "eleven billion, one hundred twenty-one million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 641 1024 1282 2564 5128 10256 16943 20512 33886 41024 67772 82048 135544 164096 271088 328192 542176 656384 1084352 2168704 4337408 8674816 10860463 17349632 21720926 43441852 86883704 173767408 347534816 695069632 1390139264 2780278528 5560557056 11121114112