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2122013 is a prime number
BaseRepresentation
bin1000000110000100011101
310222210212002
420012010131
51020401023
6113252045
724015425
oct10060435
93883762
102122013
11121a333
12864025
13593b3a
143d3485
152bdb28
hex20611d

2122013 has 2 divisors, whose sum is σ = 2122014. Its totient is φ = 2122012.

The previous prime is 2122009. The next prime is 2122031. The reversal of 2122013 is 3102212.

It is a happy number.

Together with next prime (2122031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1315609 + 806404 = 1147^2 + 898^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122013 - 22 = 2122009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2121985 and 2122003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061006 + 1061007.

It is an arithmetic number, because the mean of its divisors is an integer number (1061007).

22122013 is an apocalyptic number.

It is an amenable number.

2122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122013 is an equidigital number, since it uses as much as digits as its factorization.

2122013 is an evil number, because the sum of its binary digits is even.

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

The square root of 2122013 is about 1456.7130808776. The cubic root of 2122013 is about 128.5038127127.

Adding to 2122013 its reverse (3102212), we get a palindrome (5224225).

The spelling of 2122013 in words is "two million, one hundred twenty-two thousand, thirteen".