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22122013 is a prime number
BaseRepresentation
bin101010001100…
…0111000011101
31112121220200211
41110120320131
521130401023
62110052421
7356014444
oct124307035
945556624
1022122013
111153a661
1274aa111
134777264
142d1bd5b
151e1ea0d
hex1518e1d

22122013 has 2 divisors, whose sum is σ = 22122014. Its totient is φ = 22122012.

The previous prime is 22122011. The next prime is 22122017. The reversal of 22122013 is 31022122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13816089 + 8305924 = 3717^2 + 2882^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122013 - 21 = 22122011 is a prime.

Together with 22122011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 22121984 and 22122002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22122011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11061006 + 11061007.

It is an arithmetic number, because the mean of its divisors is an integer number (11061007).

Almost surely, 222122013 is an apocalyptic number.

It is an amenable number.

22122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122013 is an equidigital number, since it uses as much as digits as its factorization.

22122013 is an evil number, because the sum of its binary digits is even.

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

The square root of 22122013 is about 4703.4044053217. The cubic root of 22122013 is about 280.7209862899.

Adding to 22122013 its reverse (31022122), we get a palindrome (53144135).

It can be divided in two parts, 2212 and 2013, that added together give a square (4225 = 652).

The spelling of 22122013 in words is "twenty-two million, one hundred twenty-two thousand, thirteen".