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112205617 is a prime number
BaseRepresentation
bin1101011000000…
…01111100110001
321211010122011121
412230001330301
5212211034432
615044542241
72531506036
oct654017461
9254118147
10112205617
1158378817
12316b1981
131a328274
1410c8b38d
159cb6197
hex6b01f31

112205617 has 2 divisors, whose sum is σ = 112205618. Its totient is φ = 112205616.

The previous prime is 112205609. The next prime is 112205633. The reversal of 112205617 is 716502211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62869041 + 49336576 = 7929^2 + 7024^2 .

It is a cyclic number.

It is not a de Polignac number, because 112205617 - 23 = 112205609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112205591 and 112205600.

It is not a weakly prime, because it can be changed into another prime (112205677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56102808 + 56102809.

It is an arithmetic number, because the mean of its divisors is an integer number (56102809).

Almost surely, 2112205617 is an apocalyptic number.

It is an amenable number.

112205617 is a deficient number, since it is larger than the sum of its proper divisors (1).

112205617 is an equidigital number, since it uses as much as digits as its factorization.

112205617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 112205617 is about 10592.7152798515. The cubic root of 112205617 is about 482.3232523984.

Adding to 112205617 its reverse (716502211), we get a palindrome (828707828).

The spelling of 112205617 in words is "one hundred twelve million, two hundred five thousand, six hundred seventeen".