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11312222112 = 2532236771359
BaseRepresentation
bin10101000100100001…
…01100111110100000
31002012100221102110100
422202100230332200
5141131412101422
65110300102400
7550220205252
oct124220547640
932170842410
1011312222112
1148854aa9a4
122238534a00
1310b3814569
14794545cd2
154631b47ac
hex2a242cfa0

11312222112 has 288 divisors, whose sum is σ = 34644879360. Its totient is φ = 3493163520.

The previous prime is 11312222111. The next prime is 11312222113. The reversal of 11312222112 is 21122221311.

It is an interprime number because it is at equal distance from previous prime (11312222111) and next prime (11312222113).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×113122221122 (a number of 21 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (11312222111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31510189 + ... + 31510547.

It is an arithmetic number, because the mean of its divisors is an integer number (120294720).

Almost surely, 211312222112 is an apocalyptic number.

11312222112 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 11312222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17322439680).

11312222112 is an abundant number, since it is smaller than the sum of its proper divisors (23332657248).

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

11312222112 is a wasteful number, since it uses less digits than its factorization.

11312222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 525 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 11312222112 its reverse (21122221311), we get a palindrome (32434443423).

The spelling of 11312222112 in words is "eleven billion, three hundred twelve million, two hundred twenty-two thousand, one hundred twelve".