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2005402213 is a prime number
BaseRepresentation
bin111011110001000…
…0000001001100101
312011202111222200001
41313202000021211
513101340332323
6530554421301
7100460431453
oct16742001145
95152458601
102005402213
11939aa7401
1247b731831
1325c619239
141504a39d3
15bb0cd3ad
hex77880265

2005402213 has 2 divisors, whose sum is σ = 2005402214. Its totient is φ = 2005402212.

The previous prime is 2005402151. The next prime is 2005402237. The reversal of 2005402213 is 3122045002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2005069284 + 332929 = 44778^2 + 577^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005402213 - 29 = 2005401701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005402013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002701106 + 1002701107.

It is an arithmetic number, because the mean of its divisors is an integer number (1002701107).

Almost surely, 22005402213 is an apocalyptic number.

It is an amenable number.

2005402213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005402213 is an equidigital number, since it uses as much as digits as its factorization.

2005402213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2005402213 is about 44781.7173967234. The cubic root of 2005402213 is about 1261.0544236979.

Adding to 2005402213 its reverse (3122045002), we get a palindrome (5127447215).

The spelling of 2005402213 in words is "two billion, five million, four hundred two thousand, two hundred thirteen".