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112431241225 = 5217509519733
BaseRepresentation
bin110100010110101101…
…1001001100000001001
3101202012112012211100101
41220231123021200021
53320224344204400
6123352235405401
711060102532202
oct1505533114011
9352175184311
10112431241225
1143755560686
1219958bb3861
13a7aa103794
1456280565a9
152dd079056a
hex1a2d6c9809

112431241225 has 24 divisors (see below), whose sum is σ = 147905901720. Its totient is φ = 84487633920.

The previous prime is 112431241207. The next prime is 112431241271. The reversal of 112431241225 is 522142134211.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 8693138169 + 103738103056 = 93237^2 + 322084^2 .

It is a de Polignac number, because none of the positive numbers 2k-112431241225 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112431241193 and 112431241202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43542 + ... + 476191.

It is an arithmetic number, because the mean of its divisors is an integer number (6162745905).

Almost surely, 2112431241225 is an apocalyptic number.

It is an amenable number.

112431241225 is a deficient number, since it is larger than the sum of its proper divisors (35474660495).

112431241225 is a wasteful number, since it uses less digits than its factorization.

112431241225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520269 (or 520264 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

Adding to 112431241225 its reverse (522142134211), we get a palindrome (634573375436).

The spelling of 112431241225 in words is "one hundred twelve billion, four hundred thirty-one million, two hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 425 509 2545 8653 12725 43265 216325 519733 2598665 8835461 12993325 44177305 220886525 264544097 1322720485 4497249649 6613602425 22486248245 112431241225