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112120333313 is a prime number
BaseRepresentation
bin110100001101011100…
…1001000010000000001
3101201101212012001212112
41220122321020100001
53314110301131223
6123301331505105
711046306052142
oct1503271102001
9351355161775
10112120333313
114360600699a
1219890a58195
13a75a886ac1
1455d8a43ac9
152db3329778
hex1a1ae48401

112120333313 has 2 divisors, whose sum is σ = 112120333314. Its totient is φ = 112120333312.

The previous prime is 112120333309. The next prime is 112120333331. The reversal of 112120333313 is 313333021211.

Together with next prime (112120333331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112102423489 + 17909824 = 334817^2 + 4232^2 .

It is a cyclic number.

It is not a de Polignac number, because 112120333313 - 22 = 112120333309 is a prime.

It is not a weakly prime, because it can be changed into another prime (112120333343) 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, 56060166656 + 56060166657.

It is an arithmetic number, because the mean of its divisors is an integer number (56060166657).

Almost surely, 2112120333313 is an apocalyptic number.

It is an amenable number.

112120333313 is a deficient number, since it is larger than the sum of its proper divisors (1).

112120333313 is an equidigital number, since it uses as much as digits as its factorization.

112120333313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 112120333313 its reverse (313333021211), we get a palindrome (425453354524).

The spelling of 112120333313 in words is "one hundred twelve billion, one hundred twenty million, three hundred thirty-three thousand, three hundred thirteen".