Search a number
-
+
112442423042241 = 32104331197508153
BaseRepresentation
bin11001100100010000001010…
…101011101110000011000001
3112202010101112210101211122200
4121210100022223232003001
5104214224040244322431
61035051200330023413
732453461031032545
oct3144201253560301
9482111483354580
10112442423042241
1132911622491966
1210740117b77b69
134a9837621c106
141daa356c9ba25
15ceed43698ee6
hex66440aaee0c1

112442423042241 has 12 divisors (see below), whose sum is σ = 162432401024868. Its totient is φ = 74954430249984.

The previous prime is 112442423042233. The next prime is 112442423042291. The reversal of 112442423042241 is 142240324244211.

112442423042241 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 4 + 2 + 423 + 0 + 4 + 224 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70348227138225 + 42094195904016 = 8387385^2 + 6488004^2 .

It is not a de Polignac number, because 112442423042241 - 23 = 112442423042233 is a prime.

It is a super-3 number, since 3×1124424230422413 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 112442423042196 and 112442423042205.

It is not an unprimeable number, because it can be changed into a prime (112442423042291) 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 11 ways as a sum of consecutive naturals, for example, 598660180 + ... + 598847973.

It is an arithmetic number, because the mean of its divisors is an integer number (13536033418739).

Almost surely, 2112442423042241 is an apocalyptic number.

It is an amenable number.

112442423042241 is a deficient number, since it is larger than the sum of its proper divisors (49989977982627).

112442423042241 is a wasteful number, since it uses less digits than its factorization.

112442423042241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197518592 (or 1197518589 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 112442423042241 its reverse (142240324244211), we get a palindrome (254682747286452).

The spelling of 112442423042241 in words is "one hundred twelve trillion, four hundred forty-two billion, four hundred twenty-three million, forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 10433 31299 93897 1197508153 3592524459 10777573377 12493602560249 37480807680747 112442423042241