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112540042053 = 32197260924329
BaseRepresentation
bin110100011001111101…
…0001100001101000101
3101202111002221111000200
41220303322030031011
53320440222321203
6123411123401113
711062563400605
oct1506372141505
9352432844020
10112540042053
1143800a1331a
1219989523199
13a7c680907a
145638698c05
152dda0d29a3
hex1a33e8c345

112540042053 has 24 divisors (see below), whose sum is σ = 163452346200. Its totient is φ = 74614170624.

The previous prime is 112540042049. The next prime is 112540042063. The reversal of 112540042053 is 350240045211.

112540042053 is a `hidden beast` number, since 112 + 540 + 0 + 4 + 2 + 0 + 5 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65839967649 + 46700074404 = 256593^2 + 216102^2 .

It is not a de Polignac number, because 112540042053 - 22 = 112540042049 is a prime.

It is a super-2 number, since 2×1125400420532 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112540042063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4613593 + ... + 4637921.

It is an arithmetic number, because the mean of its divisors is an integer number (6810514425).

Almost surely, 2112540042053 is an apocalyptic number.

It is an amenable number.

112540042053 is a deficient number, since it is larger than the sum of its proper divisors (50912304147).

112540042053 is a wasteful number, since it uses less digits than its factorization.

112540042053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27141 (or 27138 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 112540042053 its reverse (350240045211), we get a palindrome (462780087264).

The spelling of 112540042053 in words is "one hundred twelve billion, five hundred forty million, forty-two thousand, fifty-three".

Divisors: 1 3 9 197 591 1773 2609 7827 23481 24329 72987 218961 513973 1541919 4625757 4792813 14378439 43135317 63474361 190423083 571269249 12504449117 37513347351 112540042053