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22102013 is a prime number
BaseRepresentation
bin101010001001…
…1111111111101
31112120220021002
41110103333331
521124231023
62105420045
7355602233
oct124237775
945526232
1022102013
111152662a
12749a625
13476b11b
142d14953
151e18b28
hex1513ffd

22102013 has 2 divisors, whose sum is σ = 22102014. Its totient is φ = 22102012.

The previous prime is 22101979. The next prime is 22102051. The reversal of 22102013 is 31020122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17530969 + 4571044 = 4187^2 + 2138^2 .

It is a cyclic number.

It is not a de Polignac number, because 22102013 - 28 = 22101757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22101985 and 22102003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22102063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11051006 + 11051007.

It is an arithmetic number, because the mean of its divisors is an integer number (11051007).

Almost surely, 222102013 is an apocalyptic number.

It is an amenable number.

22102013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22102013 is an equidigital number, since it uses as much as digits as its factorization.

22102013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 22102013 is about 4701.2778050228. The cubic root of 22102013 is about 280.6363630004.

Adding to 22102013 its reverse (31020122), we get a palindrome (53122135).

The spelling of 22102013 in words is "twenty-two million, one hundred two thousand, thirteen".