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111013303001 is a prime number
BaseRepresentation
bin110011101100011101…
…0001001001011011001
3101121112201010002202212
41213120322021023121
53304323401144001
6122555424204505
711010004335416
oct1473072111331
9347481102685
10111013303001
114309812a707
1219622169735
13a612414193
1455319d510d
152d4b0557bb
hex19d8e892d9

111013303001 has 2 divisors, whose sum is σ = 111013303002. Its totient is φ = 111013303000.

The previous prime is 111013302929. The next prime is 111013303031. The reversal of 111013303001 is 100303310111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106514113225 + 4499189776 = 326365^2 + 67076^2 .

It is a cyclic number.

It is not a de Polignac number, because 111013303001 - 226 = 110946194137 is a prime.

It is a super-3 number, since 3×1110133030013 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (111013303031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55506651500 + 55506651501.

It is an arithmetic number, because the mean of its divisors is an integer number (55506651501).

Almost surely, 2111013303001 is an apocalyptic number.

It is an amenable number.

111013303001 is a deficient number, since it is larger than the sum of its proper divisors (1).

111013303001 is an equidigital number, since it uses as much as digits as its factorization.

111013303001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 111013303001 its reverse (100303310111), we get a palindrome (211316613112).

The spelling of 111013303001 in words is "one hundred eleven billion, thirteen million, three hundred three thousand, one".