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112203120013 is a prime number
BaseRepresentation
bin110100001111111010…
…0111011110110001101
3101201121121222001212121
41220133310323312031
53314242444320023
6123313450132541
711051332532605
oct1503764736615
9351547861777
10112203120013
1143648810856
12198b4721151
13a771a8170a
145605a33c05
152dba72dd5d
hex1a1fd3bd8d

112203120013 has 2 divisors, whose sum is σ = 112203120014. Its totient is φ = 112203120012.

The previous prime is 112203119921. The next prime is 112203120019. The reversal of 112203120013 is 310021302211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104967576169 + 7235543844 = 323987^2 + 85062^2 .

It is a cyclic number.

It is not a de Polignac number, because 112203120013 - 213 = 112203111821 is a prime.

It is a super-2 number, since 2×1122031200132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112203120019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56101560006 + 56101560007.

It is an arithmetic number, because the mean of its divisors is an integer number (56101560007).

Almost surely, 2112203120013 is an apocalyptic number.

It is an amenable number.

112203120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

112203120013 is an equidigital number, since it uses as much as digits as its factorization.

112203120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 112203120013 its reverse (310021302211), we get a palindrome (422224422224).

The spelling of 112203120013 in words is "one hundred twelve billion, two hundred three million, one hundred twenty thousand, thirteen".