Search a number
-
+
209680231601 is a prime number
BaseRepresentation
bin1100001101000111101…
…0100110110010110001
3202001012222100101211202
43003101322212302301
511413411114402401
6240154211020545
721102033363401
oct3032172466261
9661188311752
10209680231601
1180a1a02a505
123477959a755
1316a079a9979
14a2119a6801
1556c321b06b
hex30d1ea6cb1

209680231601 has 2 divisors, whose sum is σ = 209680231602. Its totient is φ = 209680231600.

The previous prime is 209680231477. The next prime is 209680231643. The reversal of 209680231601 is 106132086902.

It is a happy number.

209680231601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136496997025 + 73183234576 = 369455^2 + 270524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-209680231601 is a prime.

It is not a weakly prime, because it can be changed into another prime (209680230601) 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, 104840115800 + 104840115801.

It is an arithmetic number, because the mean of its divisors is an integer number (104840115801).

Almost surely, 2209680231601 is an apocalyptic number.

It is an amenable number.

209680231601 is a deficient number, since it is larger than the sum of its proper divisors (1).

209680231601 is an equidigital number, since it uses as much as digits as its factorization.

209680231601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 209680231601 in words is "two hundred nine billion, six hundred eighty million, two hundred thirty-one thousand, six hundred one".