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204213013 is a prime number
BaseRepresentation
bin11000010110000…
…00101100010101
3112020021002120221
430023000230111
5404234304023
632132554341
75026532134
oct1413005425
9466232527
10204213013
11a5300294
12584829b1
1333400b04
141d19b91b
1512ddc85d
hexc2c0b15

204213013 has 2 divisors, whose sum is σ = 204213014. Its totient is φ = 204213012.

The previous prime is 204213001. The next prime is 204213017. The reversal of 204213013 is 310312402.

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., 188705169 + 15507844 = 13737^2 + 3938^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204213013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (204213017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102106506 + 102106507.

It is an arithmetic number, because the mean of its divisors is an integer number (102106507).

Almost surely, 2204213013 is an apocalyptic number.

It is an amenable number.

204213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

204213013 is an equidigital number, since it uses as much as digits as its factorization.

204213013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 204213013 is about 14290.3118580386. The cubic root of 204213013 is about 588.8813554368.

Adding to 204213013 its reverse (310312402), we get a palindrome (514525415).

The spelling of 204213013 in words is "two hundred four million, two hundred thirteen thousand, thirteen".