Search a number
-
+
1100133303013 is a prime number
BaseRepresentation
bin10000000000100101000…
…011100000001011100101
310220011122011220021002101
4100000211003200023211
5121011033111144023
62201221054412101
7142324220533033
oct20004503401345
93804564807071
101100133303013
11394622629578
12159268501031
137c9855ac2b4
143b365087553
151d93c5331ad
hex100250e02e5

1100133303013 has 2 divisors, whose sum is σ = 1100133303014. Its totient is φ = 1100133303012.

The previous prime is 1100133302993. The next prime is 1100133303037. The reversal of 1100133303013 is 3103033310011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1041773372929 + 58359930084 = 1020673^2 + 241578^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100133303013 - 217 = 1100133171941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100133303083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550066651506 + 550066651507.

It is an arithmetic number, because the mean of its divisors is an integer number (550066651507).

Almost surely, 21100133303013 is an apocalyptic number.

It is an amenable number.

1100133303013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100133303013 is an equidigital number, since it uses as much as digits as its factorization.

1100133303013 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 19.

Adding to 1100133303013 its reverse (3103033310011), we get a palindrome (4203166613024).

The spelling of 1100133303013 in words is "one trillion, one hundred billion, one hundred thirty-three million, three hundred three thousand, thirteen".