Search a number
-
+
20112220122121 is a prime number
BaseRepresentation
bin1001001001010101111011…
…01111000110110000001001
32122012201011012102101001001
410210222331233012300021
510114004311322401441
6110435232032455001
74144026364226401
oct444527557066011
978181135371031
1020112220122121
1164545a9a30816
122309a719aa461
13b2b76073916a
144d7618239801
1524d271d22731
hex124abdbc6c09

20112220122121 has 2 divisors, whose sum is σ = 20112220122122. Its totient is φ = 20112220122120.

The previous prime is 20112220122119. The next prime is 20112220122157. The reversal of 20112220122121 is 12122102221102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17990653088521 + 2121567033600 = 4241539^2 + 1456560^2 .

It is a cyclic number.

It is not a de Polignac number, because 20112220122121 - 21 = 20112220122119 is a prime.

Together with 20112220122119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20112220122191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10056110061060 + 10056110061061.

It is an arithmetic number, because the mean of its divisors is an integer number (10056110061061).

Almost surely, 220112220122121 is an apocalyptic number.

It is an amenable number.

20112220122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20112220122121 is an equidigital number, since it uses as much as digits as its factorization.

20112220122121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 20112220122121 its reverse (12122102221102), we get a palindrome (32234322343223).

It can be divided in two parts, 20112220 and 122121, that added together give a triangular number (20234341 = T6361).

The spelling of 20112220122121 in words is "twenty trillion, one hundred twelve billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty-one".