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1100023313117 is a prime number
BaseRepresentation
bin10000000000011110011…
…111111011001011011101
310220011100111221012022112
4100000132133323023131
5121010321432004432
62201202125123405
7142321413612551
oct20003637731335
93804314835275
101100023313117
11394576534533
121592376b9565
137c96887b711
143b354615861
151d932a587b2
hex1001e7fb2dd

1100023313117 has 2 divisors, whose sum is σ = 1100023313118. Its totient is φ = 1100023313116.

The previous prime is 1100023313089. The next prime is 1100023313143. The reversal of 1100023313117 is 7113133200011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 904465669156 + 195557643961 = 951034^2 + 442219^2 .

It is an emirp because it is prime and its reverse (7113133200011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1100023313117 - 226 = 1099956204253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100023313092 and 1100023313101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1100023313717) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550011656558 + 550011656559.

It is an arithmetic number, because the mean of its divisors is an integer number (550011656559).

Almost surely, 21100023313117 is an apocalyptic number.

It is an amenable number.

1100023313117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100023313117 is an equidigital number, since it uses as much as digits as its factorization.

1100023313117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 1100023313117 its reverse (7113133200011), we get a palindrome (8213156513128).

The spelling of 1100023313117 in words is "one trillion, one hundred billion, twenty-three million, three hundred thirteen thousand, one hundred seventeen".