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11111221313 is a prime number
BaseRepresentation
bin10100101100100011…
…11100100001000001
31001200100201112012022
422112101330201001
5140223433040223
65034320011225
7542226552143
oct122621744101
931610645168
1011111221313
114791aa4035
1221a1160b15
131080c9988a
14775982c93
1545070dac8
hex29647c841

11111221313 has 2 divisors, whose sum is σ = 11111221314. Its totient is φ = 11111221312.

The previous prime is 11111221307. The next prime is 11111221321. The reversal of 11111221313 is 31312211111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5750492224 + 5360729089 = 75832^2 + 73217^2 .

It is a cyclic number.

It is not a de Polignac number, because 11111221313 - 216 = 11111155777 is a prime.

It is a super-3 number, since 3×111112213133 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11111221291 and 11111221300.

It is not a weakly prime, because it can be changed into another prime (11111221333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5555610656 + 5555610657.

It is an arithmetic number, because the mean of its divisors is an integer number (5555610657).

Almost surely, 211111221313 is an apocalyptic number.

It is an amenable number.

11111221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11111221313 is an equidigital number, since it uses as much as digits as its factorization.

11111221313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36, while the sum is 17.

Adding to 11111221313 its reverse (31312211111), we get a palindrome (42423432424).

The spelling of 11111221313 in words is "eleven billion, one hundred eleven million, two hundred twenty-one thousand, three hundred thirteen".