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1116122112 = 2103377379
BaseRepresentation
bin100001010000110…
…1010110000000000
32212210011212201000
41002201222300000
54241211401422
6302430212000
736441611220
oct10241526000
92783155630
101116122112
11523027076
12271954000
1314a306cb1
14a8338080
1567ebccac
hex4286ac00

1116122112 has 352 divisors, whose sum is σ = 3877836800. Its totient is φ = 310542336.

The previous prime is 1116122099. The next prime is 1116122123. The reversal of 1116122112 is 2112216111.

Adding to 1116122112 its reverse (2112216111), we get a palindrome (3228338223).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 (54) and by the product (2304) of the squares of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14128089 + ... + 14128167.

Almost surely, 21116122112 is an apocalyptic number.

1116122112 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 1116122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938918400).

1116122112 is an abundant number, since it is smaller than the sum of its proper divisors (2761714688).

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

1116122112 is an equidigital number, since it uses as much as digits as its factorization.

1116122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 164 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

The square root of 1116122112 is about 33408.4137905408. The cubic root of 1116122112 is about 1037.2988682929.

The spelling of 1116122112 in words is "one billion, one hundred sixteen million, one hundred twenty-two thousand, one hundred twelve".