Search a number
-
+
2233331110121 is a prime number
BaseRepresentation
bin100000011111111100111…
…010000101000011101001
321220111121200111100212112
4200133330322011003221
5243042330231010441
64425551140252105
7320232012134156
oct40377472050351
97814550440775
102233331110121
11791172209391
12300a020a1035
131327aa100cc7
147a14557322d
153d1627264eb
hex207fce850e9

2233331110121 has 2 divisors, whose sum is σ = 2233331110122. Its totient is φ = 2233331110120.

The previous prime is 2233331110091. The next prime is 2233331110133. The reversal of 2233331110121 is 1210111333322.

2233331110121 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., 2200475560000 + 32855550121 = 1483400^2 + 181261^2 .

It is a cyclic number.

It is not a de Polignac number, because 2233331110121 - 234 = 2216151240937 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 (2233331110151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116665555060 + 1116665555061.

It is an arithmetic number, because the mean of its divisors is an integer number (1116665555061).

Almost surely, 22233331110121 is an apocalyptic number.

It is an amenable number.

2233331110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2233331110121 is an equidigital number, since it uses as much as digits as its factorization.

2233331110121 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.

Adding to 2233331110121 its reverse (1210111333322), we get a palindrome (3443442443443).

The spelling of 2233331110121 in words is "two trillion, two hundred thirty-three billion, three hundred thirty-one million, one hundred ten thousand, one hundred twenty-one".