Search a number
-
+
11221010010113 is a prime number
BaseRepresentation
bin1010001101001001100001…
…0100001101000000000001
31110201201101110222110110112
42203102120110031000001
52432321112030310423
635510505535041105
72235456042236201
oct243223024150001
943651343873415
1011221010010113
11363689268a732
121312859670195
136351a1451377
142ab157b34401
15146d3e3a6a78
hexa349850d001

11221010010113 has 2 divisors, whose sum is σ = 11221010010114. Its totient is φ = 11221010010112.

The previous prime is 11221010010109. The next prime is 11221010010131. The reversal of 11221010010113 is 31101001012211.

Together with next prime (11221010010131) 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., 8726783616769 + 2494226393344 = 2954113^2 + 1579312^2 .

It is a cyclic number.

It is not a de Polignac number, because 11221010010113 - 22 = 11221010010109 is a prime.

It is a super-2 number, since 2×112210100101132 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11221010010013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5610505005056 + 5610505005057.

It is an arithmetic number, because the mean of its divisors is an integer number (5610505005057).

Almost surely, 211221010010113 is an apocalyptic number.

It is an amenable number.

11221010010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11221010010113 is an equidigital number, since it uses as much as digits as its factorization.

11221010010113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 11221010010113 its reverse (31101001012211), we get a palindrome (42322011022324).

The spelling of 11221010010113 in words is "eleven trillion, two hundred twenty-one billion, ten million, ten thousand, one hundred thirteen".