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2023022121217 is a prime number
BaseRepresentation
bin11101011100000101100…
…000111101000100000001
321011101202220000210011021
4131130011200331010001
5231121122130334332
64145210304545441
7266105242210006
oct35340540750401
97141686023137
102023022121217
1170aa6027a249
122880aa022281
13118a0209a2c6
146dcb42998ad
153795420bc97
hex1d70583d101

2023022121217 has 2 divisors, whose sum is σ = 2023022121218. Its totient is φ = 2023022121216.

The previous prime is 2023022121203. The next prime is 2023022121269. The reversal of 2023022121217 is 7121212203202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1900802660416 + 122219460801 = 1378696^2 + 349599^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023022121217 - 223 = 2023013732609 is a prime.

It is a super-2 number, since 2×20230221212172 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2023022121191 and 2023022121200.

It is not a weakly prime, because it can be changed into another prime (2023022121817) 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, 1011511060608 + 1011511060609.

It is an arithmetic number, because the mean of its divisors is an integer number (1011511060609).

Almost surely, 22023022121217 is an apocalyptic number.

It is an amenable number.

2023022121217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023022121217 is an equidigital number, since it uses as much as digits as its factorization.

2023022121217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 2023022121217 its reverse (7121212203202), we get a palindrome (9144234324419).

The spelling of 2023022121217 in words is "two trillion, twenty-three billion, twenty-two million, one hundred twenty-one thousand, two hundred seventeen".