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204065782813 is a prime number
BaseRepresentation
bin1011111000001101000…
…1001011110000011101
3201111201200202212000001
42332003101023300131
511320411320022223
6233425125534301
720512640351134
oct2760321136035
9644650685001
10204065782813
11795a88a5a92
1233671274391
1316321763a19
149c3c07a91b
1554953909ad
hex2f8344bc1d

204065782813 has 2 divisors, whose sum is σ = 204065782814. Its totient is φ = 204065782812.

The previous prime is 204065782807. The next prime is 204065782819. The reversal of 204065782813 is 318287560402.

204065782813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (204065782807) and next prime (204065782819).

It can be written as a sum of positive squares in only one way, i.e., 184794235129 + 19271547684 = 429877^2 + 138822^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204065782813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (204065782819) 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, 102032891406 + 102032891407.

It is an arithmetic number, because the mean of its divisors is an integer number (102032891407).

Almost surely, 2204065782813 is an apocalyptic number.

It is an amenable number.

204065782813 is a deficient number, since it is larger than the sum of its proper divisors (1).

204065782813 is an equidigital number, since it uses as much as digits as its factorization.

204065782813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 204065782813 in words is "two hundred four billion, sixty-five million, seven hundred eighty-two thousand, eight hundred thirteen".