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2331122112 = 263311211149
BaseRepresentation
bin1000101011110010…
…0001100111000000
320000110102021101000
42022330201213000
514233231401422
61023152012000
7111524132244
oct21274414700
96013367330
102331122112
11a96948600
12550831000
132b1c50ac7
14181850424
15d99bccac
hex8af219c0

2331122112 has 168 divisors, whose sum is σ = 7533386000. Its totient is φ = 706337280.

The previous prime is 2331122107. The next prime is 2331122153. The reversal of 2331122112 is 2112211332.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203514 + ... + 214662.

Almost surely, 22331122112 is an apocalyptic number.

2331122112 is a gapful number since it is divisible by the number (22) 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 2331122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766693000).

2331122112 is an abundant number, since it is smaller than the sum of its proper divisors (5202263888).

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

2331122112 is a wasteful number, since it uses less digits than its factorization.

2331122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11192 (or 11165 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2331122112 is about 48281.6954134794. The cubic root of 2331122112 is about 1325.9332903931.

Adding to 2331122112 its reverse (2112211332), we get a palindrome (4443333444).

The spelling of 2331122112 in words is "two billion, three hundred thirty-one million, one hundred twenty-two thousand, one hundred twelve".