Search a number
-
+
20121022241 is a prime number
BaseRepresentation
bin10010101111010011…
…100110111100100001
31220221021020211112222
4102233103212330201
5312201440202431
613124331200425
71311421603265
oct225723467441
956837224488
1020121022241
118595879901
123a965a6115
131b8879bc28
14d8c3ca0a5
157cb6c457b
hex4af4e6f21

20121022241 has 2 divisors, whose sum is σ = 20121022242. Its totient is φ = 20121022240.

The previous prime is 20121022213. The next prime is 20121022247. The reversal of 20121022241 is 14222012102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19322112016 + 798910225 = 139004^2 + 28265^2 .

It is a cyclic number.

It is not a de Polignac number, because 20121022241 - 214 = 20121005857 is a prime.

It is not a weakly prime, because it can be changed into another prime (20121022247) 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, 10060511120 + 10060511121.

It is an arithmetic number, because the mean of its divisors is an integer number (10060511121).

Almost surely, 220121022241 is an apocalyptic number.

It is an amenable number.

20121022241 is a deficient number, since it is larger than the sum of its proper divisors (1).

20121022241 is an equidigital number, since it uses as much as digits as its factorization.

20121022241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 20121022241 its reverse (14222012102), we get a palindrome (34343034343).

The spelling of 20121022241 in words is "twenty billion, one hundred twenty-one million, twenty-two thousand, two hundred forty-one".