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2005203413 is a prime number
BaseRepresentation
bin111011110000100…
…1111100111010101
312011202010212222002
41313201033213111
513101313002123
6530550245045
7100455643043
oct16741174725
95152125862
102005203413
11939981004
1247b656785
1325c5798c5
14150451393
15bb08e528
hex7784f9d5

2005203413 has 2 divisors, whose sum is σ = 2005203414. Its totient is φ = 2005203412.

The previous prime is 2005203379. The next prime is 2005203427. The reversal of 2005203413 is 3143025002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1530922129 + 474281284 = 39127^2 + 21778^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005203413 - 214 = 2005187029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005203713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002601706 + 1002601707.

It is an arithmetic number, because the mean of its divisors is an integer number (1002601707).

Almost surely, 22005203413 is an apocalyptic number.

It is an amenable number.

2005203413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005203413 is an equidigital number, since it uses as much as digits as its factorization.

2005203413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2005203413 is about 44779.4976858830. The cubic root of 2005203413 is about 1261.0127519404.

Adding to 2005203413 its reverse (3143025002), we get a palindrome (5148228415).

The spelling of 2005203413 in words is "two billion, five million, two hundred three thousand, four hundred thirteen".