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111001330313 is a prime number
BaseRepresentation
bin110011101100000110…
…0011110001010001001
3101121111212120211022222
41213120030132022021
53304312320032223
6122554315423425
711006500511546
oct1473014361211
9347455524288
10111001330313
11430913a2425
121961a154b75
13a60cab1753
145530199bcd
152d49e8d0c8
hex19d831e289

111001330313 has 2 divisors, whose sum is σ = 111001330314. Its totient is φ = 111001330312.

The previous prime is 111001330283. The next prime is 111001330333. The reversal of 111001330313 is 313033100111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106166492224 + 4834838089 = 325832^2 + 69533^2 .

It is an emirp because it is prime and its reverse (313033100111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111001330313 - 26 = 111001330249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111001330291 and 111001330300.

It is not a weakly prime, because it can be changed into another prime (111001330333) 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, 55500665156 + 55500665157.

It is an arithmetic number, because the mean of its divisors is an integer number (55500665157).

Almost surely, 2111001330313 is an apocalyptic number.

It is an amenable number.

111001330313 is a deficient number, since it is larger than the sum of its proper divisors (1).

111001330313 is an equidigital number, since it uses as much as digits as its factorization.

111001330313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 111001330313 its reverse (313033100111), we get a palindrome (424034430424).

The spelling of 111001330313 in words is "one hundred eleven billion, one million, three hundred thirty thousand, three hundred thirteen".