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113043222013 is a prime number
BaseRepresentation
bin110100101000111100…
…1101010110111111101
3101210210011202200011111
41221101321222313331
53323003031101023
6123533100322021
711111213350561
oct1512171526775
9353704680144
10113043222013
1143a39a51927
1219aa9b43311
13a876b356a7
14568543b6a1
152e1937800d
hex1a51e6adfd

113043222013 has 2 divisors, whose sum is σ = 113043222014. Its totient is φ = 113043222012.

The previous prime is 113043222001. The next prime is 113043222041. The reversal of 113043222013 is 310222340311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82606232569 + 30436989444 = 287413^2 + 174462^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113043222013 is a prime.

It is a super-3 number, since 3×1130432220133 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113043222113) 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, 56521611006 + 56521611007.

It is an arithmetic number, because the mean of its divisors is an integer number (56521611007).

Almost surely, 2113043222013 is an apocalyptic number.

It is an amenable number.

113043222013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113043222013 is an equidigital number, since it uses as much as digits as its factorization.

113043222013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 113043222013 its reverse (310222340311), we get a palindrome (423265562324).

The spelling of 113043222013 in words is "one hundred thirteen billion, forty-three million, two hundred twenty-two thousand, thirteen".