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2201122120013 is a prime number
BaseRepresentation
bin100000000001111101000…
…110100010000101001101
321210102110222121010201222
4200001331012202011031
5242030344230320023
64403103114013125
7315011600214005
oct40017506420515
97712428533658
102201122120013
117795440653a3
122b67134171a5
1312c7461aa58b
147876b9cb005
153c3c9c06cc8
hex2007d1a214d

2201122120013 has 2 divisors, whose sum is σ = 2201122120014. Its totient is φ = 2201122120012.

The previous prime is 2201122120009. The next prime is 2201122120031. The reversal of 2201122120013 is 3100212211022.

Together with next prime (2201122120031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2034394447684 + 166727672329 = 1426322^2 + 408323^2 .

It is a cyclic number.

It is not a de Polignac number, because 2201122120013 - 22 = 2201122120009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2201122119973 and 2201122120000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201122120033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100561060006 + 1100561060007.

It is an arithmetic number, because the mean of its divisors is an integer number (1100561060007).

Almost surely, 22201122120013 is an apocalyptic number.

It is an amenable number.

2201122120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201122120013 is an equidigital number, since it uses as much as digits as its factorization.

2201122120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2201122120013 its reverse (3100212211022), we get a palindrome (5301334331035).

The spelling of 2201122120013 in words is "two trillion, two hundred one billion, one hundred twenty-two million, one hundred twenty thousand, thirteen".