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1000221300209 is a prime number
BaseRepresentation
bin11101000111000011101…
…01011101010111110001
310112121202010211122022002
432203201311131113301
5112341423123101314
62043254553423345
7132156262526105
oct16434165352761
93477663748262
101000221300209
1135621193702a
12141a2410ab55
13734220a0001
14365a79b1905
151b040dcbade
hexe8e1d5d5f1

1000221300209 has 2 divisors, whose sum is σ = 1000221300210. Its totient is φ = 1000221300208.

The previous prime is 1000221300109. The next prime is 1000221300259. The reversal of 1000221300209 is 9020031220001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 747830611984 + 252390688225 = 864772^2 + 502385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000221300209 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1000221300259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500110650104 + 500110650105.

It is an arithmetic number, because the mean of its divisors is an integer number (500110650105).

Almost surely, 21000221300209 is an apocalyptic number.

It is an amenable number.

1000221300209 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000221300209 is an equidigital number, since it uses as much as digits as its factorization.

1000221300209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 1000221300209 in words is "one trillion, two hundred twenty-one million, three hundred thousand, two hundred nine".