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2023122313 is a prime number
BaseRepresentation
bin111100010010110…
…0110010110001001
312012222212021002001
41320211212112021
513120404403223
6532430311001
7101064153532
oct17045462611
95188767061
102023122313
11948aaa813
12485658461
132631b19c4
14152997689
15bc92d9ad
hex78966589

2023122313 has 2 divisors, whose sum is σ = 2023122314. Its totient is φ = 2023122312.

The previous prime is 2023122293. The next prime is 2023122317. The reversal of 2023122313 is 3132213202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1882865664 + 140256649 = 43392^2 + 11843^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023122313 - 217 = 2022991241 is a prime.

It is not a weakly prime, because it can be changed into another prime (2023122317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011561156 + 1011561157.

It is an arithmetic number, because the mean of its divisors is an integer number (1011561157).

Almost surely, 22023122313 is an apocalyptic number.

It is an amenable number.

2023122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023122313 is an equidigital number, since it uses as much as digits as its factorization.

2023122313 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 2023122313 is about 44979.1319725048. The cubic root of 2023122313 is about 1264.7578393598.

Adding to 2023122313 its reverse (3132213202), we get a palindrome (5155335515).

The spelling of 2023122313 in words is "two billion, twenty-three million, one hundred twenty-two thousand, three hundred thirteen".