Search a number
-
+
2101000323209 is a prime number
BaseRepresentation
bin11110100100101101011…
…000001100000010001001
321102212001022202212200112
4132210231120030002021
5233410322040320314
64245104120244105
7304535514041534
oct36445530140211
97385038685615
102101000323209
11740035a00587
1229b230910635
1312317b395128
1473990703a1b
15399b9e5e43e
hex1e92d60c089

2101000323209 has 2 divisors, whose sum is σ = 2101000323210. Its totient is φ = 2101000323208.

The previous prime is 2101000323187. The next prime is 2101000323223. The reversal of 2101000323209 is 9023230001012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1351731769600 + 749268553609 = 1162640^2 + 865603^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101000323209 - 212 = 2101000319113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101000323269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050500161604 + 1050500161605.

It is an arithmetic number, because the mean of its divisors is an integer number (1050500161605).

Almost surely, 22101000323209 is an apocalyptic number.

It is an amenable number.

2101000323209 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101000323209 is an equidigital number, since it uses as much as digits as its factorization.

2101000323209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 2101000323209 in words is "two trillion, one hundred one billion, three hundred twenty-three thousand, two hundred nine".