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112332214241 = 13291012950133
BaseRepresentation
bin110100010011110000…
…1011000111111100001
3101201221121212201212022
41220213201120333201
53320024021323431
6123334341111225
711054461031612
oct1504741307741
9351847781768
10112332214241
11437046741a5
121992b9b8515
13a792740b30
145618c39c09
152dc6c2e07b
hex1a27858fe1

112332214241 has 16 divisors (see below), whose sum is σ = 126383740560. Its totient is φ = 99124435200.

The previous prime is 112332214237. The next prime is 112332214259. The reversal of 112332214241 is 142412233211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 8377557841 + 103954656400 = 91529^2 + 322420^2 .

It is a cyclic number.

It is not a de Polignac number, because 112332214241 - 22 = 112332214237 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 112332214241.

It is not an unprimeable number, because it can be changed into a prime (112332214201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436990 + ... + 1513143.

It is an arithmetic number, because the mean of its divisors is an integer number (7898983785).

Almost surely, 2112332214241 is an apocalyptic number.

It is an amenable number.

112332214241 is a deficient number, since it is larger than the sum of its proper divisors (14051526319).

112332214241 is a wasteful number, since it uses less digits than its factorization.

112332214241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950276.

The product of its digits is 2304, while the sum is 26.

Adding to 112332214241 its reverse (142412233211), we get a palindrome (254744447452).

The spelling of 112332214241 in words is "one hundred twelve billion, three hundred thirty-two million, two hundred fourteen thousand, two hundred forty-one".

Divisors: 1 13 29 101 377 1313 2929 38077 2950133 38351729 85553857 297963433 1112200141 3873524629 8640939557 112332214241