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181114112 = 283719121
BaseRepresentation
bin10101100101110…
…01010100000000
3110121210112212002
422302321110000
5332331122422
625545523132
74326305324
oct1262712400
9417715762
10181114112
1193263793
12507a34a8
132b6a401a
141a0a7984
1510d78692
hexacb9500

181114112 has 36 divisors (see below), whose sum is σ = 371310996. Its totient is φ = 88104960.

The previous prime is 181114103. The next prime is 181114123. The reversal of 181114112 is 211411181.

It can be written as a sum of positive squares in 2 ways, for example, as 160174336 + 20939776 = 12656^2 + 4576^2 .

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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89 + ... + 19032.

Almost surely, 2181114112 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 181114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185655498).

181114112 is an abundant number, since it is smaller than the sum of its proper divisors (190196884).

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

181114112 is an equidigital number, since it uses as much as digits as its factorization.

181114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19174 (or 19160 counting only the distinct ones).

The product of its digits is 64, while the sum is 20.

The square root of 181114112 is about 13457.8643179369. The cubic root of 181114112 is about 565.7841327414.

Adding to 181114112 its reverse (211411181), we get a palindrome (392525293).

The spelling of 181114112 in words is "one hundred eighty-one million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 2368 4736 9472 19121 38242 76484 152968 305936 611872 707477 1223744 1414954 2447488 2829908 4894976 5659816 11319632 22639264 45278528 90557056 181114112