Search a number
-
+
22132322210029 is a prime number
BaseRepresentation
bin1010000100001000101010…
…01101000001000011101101
32220100211101120220002112111
411002010111031001003231
510400103443441210104
6115023240511204021
74443002401530643
oct502042515010355
986324346802474
1022132322210029
1170632a0998799
122595485b16611
13c470b88700b5
145672d2787193
15285aa49d4404
hex1421153410ed

22132322210029 has 2 divisors, whose sum is σ = 22132322210030. Its totient is φ = 22132322210028.

The previous prime is 22132322209997. The next prime is 22132322210051. The reversal of 22132322210029 is 92001222323122.

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., 19123391380900 + 3008930829129 = 4373030^2 + 1734627^2 .

It is a cyclic number.

It is not a de Polignac number, because 22132322210029 - 25 = 22132322209997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22132322210329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11066161105014 + 11066161105015.

It is an arithmetic number, because the mean of its divisors is an integer number (11066161105015).

Almost surely, 222132322210029 is an apocalyptic number.

It is an amenable number.

22132322210029 is a deficient number, since it is larger than the sum of its proper divisors (1).

22132322210029 is an equidigital number, since it uses as much as digits as its factorization.

22132322210029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 22132322210029 in words is "twenty-two trillion, one hundred thirty-two billion, three hundred twenty-two million, two hundred ten thousand, twenty-nine".