Search a number
-
+
2201120322013 is a prime number
BaseRepresentation
bin100000000001111100111…
…111101011000111011101
321210102110212012210100101
4200001330333223013131
5242030343300301023
64403103011301101
7315011546015014
oct40017477530735
97712425183311
102201120322013
11779543047548
122b67128aa791
1312c7459cb082
147876b67da7b
153c3c999e1ad
hex2007cfeb1dd

2201120322013 has 2 divisors, whose sum is σ = 2201120322014. Its totient is φ = 2201120322012.

The previous prime is 2201120322007. The next prime is 2201120322073. The reversal of 2201120322013 is 3102230211022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2178274906404 + 22845415609 = 1475898^2 + 151147^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2201120322013 is a prime.

It is a super-2 number, since 2×22011203220132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201120322073) 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, 1100560161006 + 1100560161007.

It is an arithmetic number, because the mean of its divisors is an integer number (1100560161007).

Almost surely, 22201120322013 is an apocalyptic number.

It is an amenable number.

2201120322013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201120322013 is an equidigital number, since it uses as much as digits as its factorization.

2201120322013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2201120322013 its reverse (3102230211022), we get a palindrome (5303350533035).

The spelling of 2201120322013 in words is "two trillion, two hundred one billion, one hundred twenty million, three hundred twenty-two thousand, thirteen".