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112434142041 = 3313674780973
BaseRepresentation
bin110100010110110011…
…0001101101101011001
3101202012201200012112000
41220231212031231121
53320231120021131
6123352421511213
711060136303324
oct1505546155531
9352181605460
10112434142041
1143757162051
1219959b72509
13a7aa8aac40
1456285ad7bb
152dd0b64ce6
hex1a2d98db59

112434142041 has 32 divisors (see below), whose sum is σ = 182059489920. Its totient is φ = 68157536832.

The previous prime is 112434142019. The next prime is 112434142061. The reversal of 112434142041 is 140241434211.

112434142041 is a `hidden beast` number, since 1 + 1 + 2 + 43 + 414 + 204 + 1 = 666.

It is not a de Polignac number, because 112434142041 - 26 = 112434141977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112434141996 and 112434142014.

It is not an unprimeable number, because it can be changed into a prime (112434142001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2366970 + ... + 2414003.

It is an arithmetic number, because the mean of its divisors is an integer number (5689359060).

Almost surely, 2112434142041 is an apocalyptic number.

It is an amenable number.

112434142041 is a deficient number, since it is larger than the sum of its proper divisors (69625347879).

112434142041 is a wasteful number, since it uses less digits than its factorization.

112434142041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4781062 (or 4781056 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 112434142041 its reverse (140241434211), we get a palindrome (252675576252).

The spelling of 112434142041 in words is "one hundred twelve billion, four hundred thirty-four million, one hundred forty-two thousand, forty-one".

Divisors: 1 3 9 13 27 39 67 117 201 351 603 871 1809 2613 7839 23517 4780973 14342919 43028757 62152649 129086271 186457947 320325191 559373841 960975573 1678121523 2882926719 4164227483 8648780157 12492682449 37478047347 112434142041