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2023222913 is a prime number
BaseRepresentation
bin111100010010111…
…1110111010000001
312020000001101001222
41320211332322001
513120421113123
6532432404425
7101065053035
oct17045767201
95200041058
102023222913
11949069358
124856a6715
1326321872a
141529c21c5
15bc94d6c8
hex7897ee81

2023222913 has 2 divisors, whose sum is σ = 2023222914. Its totient is φ = 2023222912.

The previous prime is 2023222907. The next prime is 2023222931. The reversal of 2023222913 is 3192223202.

Together with next prime (2023222931) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2020322704 + 2900209 = 44948^2 + 1703^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023222913 - 212 = 2023218817 is a prime.

It is not a weakly prime, because it can be changed into another prime (2023222213) 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, 1011611456 + 1011611457.

It is an arithmetic number, because the mean of its divisors is an integer number (1011611457).

Almost surely, 22023222913 is an apocalyptic number.

It is an amenable number.

2023222913 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023222913 is an equidigital number, since it uses as much as digits as its factorization.

2023222913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2023222913 is about 44980.2502549730. The cubic root of 2023222913 is about 1264.7788024242.

The spelling of 2023222913 in words is "two billion, twenty-three million, two hundred twenty-two thousand, nine hundred thirteen".