Search a number
-
+
11311200101 is a prime number
BaseRepresentation
bin10101000100011001…
…10011011101100101
31002012022000111112002
422202030303131211
5141131131400401
65110222135045
7550205420525
oct124214633545
932168014462
1011311200101
114884972063
122238121485
1310b3547316
1479435b685
15463061a6b
hex2a2333765

11311200101 has 2 divisors, whose sum is σ = 11311200102. Its totient is φ = 11311200100.

The previous prime is 11311200097. The next prime is 11311200119. The reversal of 11311200101 is 10100211311.

It is a happy number.

11311200101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8823784225 + 2487415876 = 93935^2 + 49874^2 .

It is a cyclic number.

It is not a de Polignac number, because 11311200101 - 22 = 11311200097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11311200191) 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, 5655600050 + 5655600051.

It is an arithmetic number, because the mean of its divisors is an integer number (5655600051).

Almost surely, 211311200101 is an apocalyptic number.

It is an amenable number.

11311200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11311200101 is an equidigital number, since it uses as much as digits as its factorization.

11311200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11311200101 its reverse (10100211311), we get a palindrome (21411411412).

The spelling of 11311200101 in words is "eleven billion, three hundred eleven million, two hundred thousand, one hundred one".