Search a number
-
+
2221333000109 is a prime number
BaseRepresentation
bin100000010100110001110…
…000111010111110101101
321212100122111221020002122
4200110301300322332231
5242343242222000414
64420244415202325
7316325462651456
oct40246160727655
97770574836078
102221333000109
11787075628793
122ba613b163a5
1313161747b822
1479727cc812d
153cbae22ab8e
hex20531c3afad

2221333000109 has 2 divisors, whose sum is σ = 2221333000110. Its totient is φ = 2221333000108.

The previous prime is 2221333000043. The next prime is 2221333000123. The reversal of 2221333000109 is 9010003331222.

2221333000109 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., 2159121666025 + 62211334084 = 1469395^2 + 249422^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221333000109 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221333000199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110666500054 + 1110666500055.

It is an arithmetic number, because the mean of its divisors is an integer number (1110666500055).

Almost surely, 22221333000109 is an apocalyptic number.

It is an amenable number.

2221333000109 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221333000109 is an equidigital number, since it uses as much as digits as its factorization.

2221333000109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 2221333000109 in words is "two trillion, two hundred twenty-one billion, three hundred thirty-three million, one hundred nine", and thus it is an aban number.