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2023224013 is a prime number
BaseRepresentation
bin111100010010111…
…1111001011001101
312020000001102120201
41320211333023031
513120421132023
6532432413501
7101065056166
oct17045771315
95200042521
102023224013
1194906a168
124856a7291
13263219095
141529c276d
15bc94dbad
hex7897f2cd

2023224013 has 2 divisors, whose sum is σ = 2023224014. Its totient is φ = 2023224012.

The previous prime is 2023223999. The next prime is 2023224017. The reversal of 2023224013 is 3104223202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1606165929 + 417058084 = 40077^2 + 20422^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2023224013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2023224017) 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, 1011612006 + 1011612007.

It is an arithmetic number, because the mean of its divisors is an integer number (1011612007).

Almost surely, 22023224013 is an apocalyptic number.

It is an amenable number.

2023224013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023224013 is an equidigital number, since it uses as much as digits as its factorization.

2023224013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2023224013 is about 44980.2624825601. The cubic root of 2023224013 is about 1264.7790316387.

Adding to 2023224013 its reverse (3104223202), we get a palindrome (5127447215).

The spelling of 2023224013 in words is "two billion, twenty-three million, two hundred twenty-four thousand, thirteen".