Search a number
-
+
22133122013 is a prime number
BaseRepresentation
bin10100100111001111…
…001010001111011101
32010010111101002112202
4110213033022033131
5330312034401023
614100125341245
71412323301342
oct244717121735
963114332482
1022133122013
119428630182
124358407825
1321195c1802
1410dd7147c9
15898177128
hex5273ca3dd

22133122013 has 2 divisors, whose sum is σ = 22133122014. Its totient is φ = 22133122012.

The previous prime is 22133122009. The next prime is 22133122057. The reversal of 22133122013 is 31022133122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15303421849 + 6829700164 = 123707^2 + 82642^2 .

It is a cyclic number.

It is not a de Polignac number, because 22133122013 - 22 = 22133122009 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 (22133122003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11066561006 + 11066561007.

It is an arithmetic number, because the mean of its divisors is an integer number (11066561007).

Almost surely, 222133122013 is an apocalyptic number.

It is an amenable number.

22133122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22133122013 is an equidigital number, since it uses as much as digits as its factorization.

22133122013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 22133122013 its reverse (31022133122), we get a palindrome (53155255135).

The spelling of 22133122013 in words is "twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, thirteen".