Search a number
-
+
220022121121073 is a prime number
BaseRepresentation
bin110010000001101111100100…
…010111110100010100110001
31001212000220112220212221120122
4302001233210113310110301
5212314320301001333243
62055540433404020025
764226034161635655
oct6201574427642461
91055026486787518
10220022121121073
1164118948454027
1220815917231615
13959ccc6521b6b
143c491adb50a65
151a68430ecb668
hexc81be45f4531

220022121121073 has 2 divisors, whose sum is σ = 220022121121074. Its totient is φ = 220022121121072.

The previous prime is 220022121121003. The next prime is 220022121121081. The reversal of 220022121121073 is 370121121220022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195142096832929 + 24880024288144 = 13969327^2 + 4987988^2 .

It is a cyclic number.

It is not a de Polignac number, because 220022121121073 - 210 = 220022121120049 is a prime.

It is a super-2 number, since 2×2200221211210732 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220022121121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110011060560536 + 110011060560537.

It is an arithmetic number, because the mean of its divisors is an integer number (110011060560537).

Almost surely, 2220022121121073 is an apocalyptic number.

It is an amenable number.

220022121121073 is a deficient number, since it is larger than the sum of its proper divisors (1).

220022121121073 is an equidigital number, since it uses as much as digits as its factorization.

220022121121073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 220022121121073 its reverse (370121121220022), we get a palindrome (590143242341095).

The spelling of 220022121121073 in words is "two hundred twenty trillion, twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand, seventy-three".