Search a number
-
+
11132031101 is a prime number
BaseRepresentation
bin10100101111000010…
…10101000001111101
31001201210212202212012
422113201111001331
5140244244443401
65040342021005
7542601463112
oct122741250175
931653782765
1011132031101
1147a2817804
1221a8117765
1310853a4769
1477863c909
1545246e8bb
hex29785507d

11132031101 has 2 divisors, whose sum is σ = 11132031102. Its totient is φ = 11132031100.

The previous prime is 11132031083. The next prime is 11132031107. The reversal of 11132031101 is 10113023111.

It is a happy number.

11132031101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8245548025 + 2886483076 = 90805^2 + 53726^2 .

It is a cyclic number.

It is not a de Polignac number, because 11132031101 - 226 = 11064922237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11132031107) 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, 5566015550 + 5566015551.

It is an arithmetic number, because the mean of its divisors is an integer number (5566015551).

Almost surely, 211132031101 is an apocalyptic number.

It is an amenable number.

11132031101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11132031101 is an equidigital number, since it uses as much as digits as its factorization.

11132031101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11132031101 its reverse (10113023111), we get a palindrome (21245054212).

The spelling of 11132031101 in words is "eleven billion, one hundred thirty-two million, thirty-one thousand, one hundred one".