Search a number
-
+
11311208813 is a prime number
BaseRepresentation
bin10101000100011001…
…10101100101101101
31002012022000221110202
422202030311211231
5141131132140223
65110222243245
7550205455112
oct124214654555
932168027422
1011311208813
114884978663
122238126525
1310b354b288
14794360909
15463064428
hex2a233596d

11311208813 has 2 divisors, whose sum is σ = 11311208814. Its totient is φ = 11311208812.

The previous prime is 11311208789. The next prime is 11311208837. The reversal of 11311208813 is 31880211311.

11311208813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (11311208789) and next prime (11311208837).

It can be written as a sum of positive squares in only one way, i.e., 11097990409 + 213218404 = 105347^2 + 14602^2 .

It is a cyclic number.

It is not a de Polignac number, because 11311208813 - 224 = 11294431597 is a prime.

It is a super-2 number, since 2×113112088132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11311208873) 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, 5655604406 + 5655604407.

It is an arithmetic number, because the mean of its divisors is an integer number (5655604407).

Almost surely, 211311208813 is an apocalyptic number.

It is an amenable number.

11311208813 is a deficient number, since it is larger than the sum of its proper divisors (1).

11311208813 is an equidigital number, since it uses as much as digits as its factorization.

11311208813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

The spelling of 11311208813 in words is "eleven billion, three hundred eleven million, two hundred eight thousand, eight hundred thirteen".