Search a number
-
+
220030151441 is a prime number
BaseRepresentation
bin1100110011101011010…
…0011010101100010001
3210000221021112210202012
43030322310122230101
512101110204321231
6245025213432305
721616360266662
oct3147264325421
9700837483665
10220030151441
1185350314471
123678779b695
13179970229a9
14a9143b5369
155acbb98e2b
hex333ad1ab11

220030151441 has 2 divisors, whose sum is σ = 220030151442. Its totient is φ = 220030151440.

The previous prime is 220030151387. The next prime is 220030151449. The reversal of 220030151441 is 144151030022.

220030151441 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., 149378385025 + 70651766416 = 386495^2 + 265804^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220030151441 is a prime.

It is not a weakly prime, because it can be changed into another prime (220030151449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110015075720 + 110015075721.

It is an arithmetic number, because the mean of its divisors is an integer number (110015075721).

Almost surely, 2220030151441 is an apocalyptic number.

It is an amenable number.

220030151441 is a deficient number, since it is larger than the sum of its proper divisors (1).

220030151441 is an equidigital number, since it uses as much as digits as its factorization.

220030151441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 220030151441 its reverse (144151030022), we get a palindrome (364181181463).

The spelling of 220030151441 in words is "two hundred twenty billion, thirty million, one hundred fifty-one thousand, four hundred forty-one".