Search a number
-
+
121020122200013 is a prime number
BaseRepresentation
bin11011100001000100110001…
…011001001111011111001101
3120212111102002101200010120122
4123201010301121033133031
5111330243202240400023
61105215513203554325
734330262305623311
oct3341046131173715
9525442071603518
10121020122200013
1135619388aa2873
12116a661608b9a5
13526b1c14b752a
1421c5595acbb41
15ded0277252c8
hex6e113164f7cd

121020122200013 has 2 divisors, whose sum is σ = 121020122200014. Its totient is φ = 121020122200012.

The previous prime is 121020122199967. The next prime is 121020122200039. The reversal of 121020122200013 is 310002221020121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61253585702089 + 59766536497924 = 7826467^2 + 7730882^2 .

It is a cyclic number.

It is not a de Polignac number, because 121020122200013 - 216 = 121020122134477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121020122199964 and 121020122200000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (121020122206013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60510061100006 + 60510061100007.

It is an arithmetic number, because the mean of its divisors is an integer number (60510061100007).

Almost surely, 2121020122200013 is an apocalyptic number.

It is an amenable number.

121020122200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

121020122200013 is an equidigital number, since it uses as much as digits as its factorization.

121020122200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 121020122200013 its reverse (310002221020121), we get a palindrome (431022343220134).

The spelling of 121020122200013 in words is "one hundred twenty-one trillion, twenty billion, one hundred twenty-two million, two hundred thousand, thirteen".