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112517257441 = 2923629164201
BaseRepresentation
bin110100011001010001…
…1010001100011100001
3101202102112001220102011
41220302203101203201
53320413404214231
6123404551152521
711062165623301
oct1506243214341
9352375056364
10112517257441
114379a070966
1219981975741
13a7c1b8c354
145635647601
152dd80d19b1
hex1a328d18e1

112517257441 has 8 divisors (see below), whose sum is σ = 116402797800. Its totient is φ = 108632092800.

The previous prime is 112517257421. The next prime is 112517257459. The reversal of 112517257441 is 144752715211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26780625 + 112490476816 = 5175^2 + 335396^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 112517257441 - 211 = 112517255393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112517257394 and 112517257403.

It is not an unprimeable number, because it can be changed into a prime (112517257421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 603141 + ... + 767341.

It is an arithmetic number, because the mean of its divisors is an integer number (14550349725).

Almost surely, 2112517257441 is an apocalyptic number.

It is an amenable number.

112517257441 is a deficient number, since it is larger than the sum of its proper divisors (3885540359).

112517257441 is a wasteful number, since it uses less digits than its factorization.

112517257441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187859.

The product of its digits is 78400, while the sum is 40.

The spelling of 112517257441 in words is "one hundred twelve billion, five hundred seventeen million, two hundred fifty-seven thousand, four hundred forty-one".

Divisors: 1 29 23629 164201 685241 4761829 3879905429 112517257441