Search a number
-
+
11303331311101 is a prime number
BaseRepresentation
bin1010010001111100001100…
…0011000010110111111101
31111000120212121000211210011
42210133003003002313331
52440143210303423401
640012402334143221
72244432041610154
oct244370303026775
944016777024704
1011303331311101
113668796936585
1213267b2951b11
1363cb9047895b
142b1126cc459b
1514905b553451
hexa47c30c2dfd

11303331311101 has 2 divisors, whose sum is σ = 11303331311102. Its totient is φ = 11303331311100.

The previous prime is 11303331311071. The next prime is 11303331311137. The reversal of 11303331311101 is 10111313330311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9365252472900 + 1938078838201 = 3060270^2 + 1392149^2 .

It is a cyclic number.

It is not a de Polignac number, because 11303331311101 - 215 = 11303331278333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11303331317101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5651665655550 + 5651665655551.

It is an arithmetic number, because the mean of its divisors is an integer number (5651665655551).

Almost surely, 211303331311101 is an apocalyptic number.

It is an amenable number.

11303331311101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11303331311101 is an equidigital number, since it uses as much as digits as its factorization.

11303331311101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 11303331311101 its reverse (10111313330311), we get a palindrome (21414644641412).

The spelling of 11303331311101 in words is "eleven trillion, three hundred three billion, three hundred thirty-one million, three hundred eleven thousand, one hundred one".