Search a number
-
+
206104155710801 is a prime number
BaseRepresentation
bin101110110111001101011100…
…111111001110010101010001
31000000202100211222111221020012
4232313031130333032111101
5204003302302330221201
62010202535250524305
761261351053624305
oct5667153477162521
91000670758457205
10206104155710801
115a742310857937
121b148448896695
138b0070009b18a
1438c76cc75bd05
1518c6396ee35bb
hexbb735cfce551

206104155710801 has 2 divisors, whose sum is σ = 206104155710802. Its totient is φ = 206104155710800.

The previous prime is 206104155710683. The next prime is 206104155710809. The reversal of 206104155710801 is 108017551401602.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202602201145600 + 3501954565201 = 14233840^2 + 1871351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-206104155710801 is a prime.

It is not a weakly prime, because it can be changed into another prime (206104155710809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103052077855400 + 103052077855401.

It is an arithmetic number, because the mean of its divisors is an integer number (103052077855401).

Almost surely, 2206104155710801 is an apocalyptic number.

It is an amenable number.

206104155710801 is a deficient number, since it is larger than the sum of its proper divisors (1).

206104155710801 is an equidigital number, since it uses as much as digits as its factorization.

206104155710801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67200, while the sum is 41.

The spelling of 206104155710801 in words is "two hundred six trillion, one hundred four billion, one hundred fifty-five million, seven hundred ten thousand, eight hundred one".