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2023322113 is a prime number
BaseRepresentation
bin111100010011001…
…0111001000000001
312020000020102011001
41320212113020001
513120432301423
6532434452001
7101065645201
oct17046271001
95200212131
102023322113
1194912693a
12485734001
13263251927
14152a0a401
15bc96ccad
hex78997201

2023322113 has 2 divisors, whose sum is σ = 2023322114. Its totient is φ = 2023322112.

The previous prime is 2023322111. The next prime is 2023322123. The reversal of 2023322113 is 3112233202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1638063729 + 385258384 = 40473^2 + 19628^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023322113 - 21 = 2023322111 is a prime.

Together with 2023322111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2023322111) 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, 1011661056 + 1011661057.

It is an arithmetic number, because the mean of its divisors is an integer number (1011661057).

Almost surely, 22023322113 is an apocalyptic number.

It is an amenable number.

2023322113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023322113 is an equidigital number, since it uses as much as digits as its factorization.

2023322113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2023322113 is about 44981.3529476382. The cubic root of 2023322113 is about 1264.7994730756.

Adding to 2023322113 its reverse (3112233202), we get a palindrome (5135555315).

The spelling of 2023322113 in words is "two billion, twenty-three million, three hundred twenty-two thousand, one hundred thirteen".