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422113 is a prime number
BaseRepresentation
bin1100111000011100001
3210110000211
41213003201
5102001423
613014121
73405436
oct1470341
9713024
10422113
1126915a
12184341
1311a193
14adb8d
158510d
hex670e1

422113 has 2 divisors, whose sum is σ = 422114. Its totient is φ = 422112.

The previous prime is 422111. The next prime is 422129. The reversal of 422113 is 311224.

Adding to 422113 its reverse (311224), we get a palindrome (733337).

Subtracting from 422113 its reverse (311224), we obtain a square (110889 = 3332).

It can be divided in two parts, 422 and 113, that added together give a palindrome (535).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 2209 = 648^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 422113 - 21 = 422111 is a prime.

Together with 422111, it forms a pair of twin primes.

422113 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 422093 and 422102.

It is not a weakly prime, because it can be changed into another prime (422111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 211056 + 211057.

It is an arithmetic number, because the mean of its divisors is an integer number (211057).

2422113 is an apocalyptic number.

It is an amenable number.

422113 is a deficient number, since it is larger than the sum of its proper divisors (1).

422113 is an equidigital number, since it uses as much as digits as its factorization.

422113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 48, while the sum is 13.

The square root of 422113 is about 649.7022394913. The cubic root of 422113 is about 75.0141010523.

The spelling of 422113 in words is "four hundred twenty-two thousand, one hundred thirteen".