Search a number
-
+
12220133220101 is a prime number
BaseRepresentation
bin1011000111010011100010…
…1100110001111100000101
31121021020022002120100011102
42301310320230301330011
53100203313101020401
641553503544545445
72400606202345142
oct261647054617405
947236262510142
1012220133220101
113991590696284
121454415a82285
136a8479b8ba41
143036599433c9
15162d18b7856b
hexb1d38b31f05

12220133220101 has 2 divisors, whose sum is σ = 12220133220102. Its totient is φ = 12220133220100.

The previous prime is 12220133220091. The next prime is 12220133220131. The reversal of 12220133220101 is 10102233102221.

12220133220101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10372096889476 + 1848036330625 = 3220574^2 + 1359425^2 .

It is a cyclic number.

It is not a de Polignac number, because 12220133220101 - 218 = 12220132957957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12220133220131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110066610050 + 6110066610051.

It is an arithmetic number, because the mean of its divisors is an integer number (6110066610051).

Almost surely, 212220133220101 is an apocalyptic number.

It is an amenable number.

12220133220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12220133220101 is an equidigital number, since it uses as much as digits as its factorization.

12220133220101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12220133220101 its reverse (10102233102221), we get a palindrome (22322366322322).

The spelling of 12220133220101 in words is "twelve trillion, two hundred twenty billion, one hundred thirty-three million, two hundred twenty thousand, one hundred one".