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112000210313 is a prime number
BaseRepresentation
bin110100001001110111…
…0111001010110001001
3101201002111011012002112
41220103232321112021
53313334023212223
6123241401112105
711043320036255
oct1502356712611
9351074135075
10112000210313
1143554220792
1219858788635
13a73ba18bc4
1455c6ad5265
152da79ec778
hex1a13bb9589

112000210313 has 2 divisors, whose sum is σ = 112000210314. Its totient is φ = 112000210312.

The previous prime is 112000210277. The next prime is 112000210331. The reversal of 112000210313 is 313012000211.

Together with next prime (112000210331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79954914169 + 32045296144 = 282763^2 + 179012^2 .

It is a cyclic number.

It is not a de Polignac number, because 112000210313 - 26 = 112000210249 is a prime.

It is a super-2 number, since 2×1120002103132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (112000210363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56000105156 + 56000105157.

It is an arithmetic number, because the mean of its divisors is an integer number (56000105157).

Almost surely, 2112000210313 is an apocalyptic number.

It is an amenable number.

112000210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

112000210313 is an equidigital number, since it uses as much as digits as its factorization.

112000210313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 112000210313 its reverse (313012000211), we get a palindrome (425012210524).

The spelling of 112000210313 in words is "one hundred twelve billion, two hundred ten thousand, three hundred thirteen".