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2023330313 is a prime number
BaseRepresentation
bin111100010011001…
…1001001000001001
312020000020211101202
41320212121020021
513120433032223
6532434553545
7101066011124
oct17046311011
95200224352
102023330313
11949132014
124857388b5
13263255594
14152a0d3bb
15bc970428
hex78999209

2023330313 has 2 divisors, whose sum is σ = 2023330314. Its totient is φ = 2023330312.

The previous prime is 2023330301. The next prime is 2023330339. The reversal of 2023330313 is 3130333202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2021671369 + 1658944 = 44963^2 + 1288^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023330313 - 24 = 2023330297 is a prime.

It is not a weakly prime, because it can be changed into another prime (2023330343) 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, 1011665156 + 1011665157.

It is an arithmetic number, because the mean of its divisors is an integer number (1011665157).

Almost surely, 22023330313 is an apocalyptic number.

It is an amenable number.

2023330313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023330313 is an equidigital number, since it uses as much as digits as its factorization.

2023330313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 2023330313 is about 44981.4440964271. Note that the first 3 decimals coincide. The cubic root of 2023330313 is about 1264.8011817081.

Adding to 2023330313 its reverse (3130333202), we get a palindrome (5153663515).

The spelling of 2023330313 in words is "two billion, twenty-three million, three hundred thirty thousand, three hundred thirteen".