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2023312332289 is a prime number
BaseRepresentation
bin11101011100010110110…
…100000001011000000001
321011102112010010000220111
4131130112310001120001
5231122220424113124
64145255153111321
7266115365026303
oct35342664013001
97142463100814
102023312332289
1171009a078106
1228816b258541
13118a4a24b631
146dd00a41973
153796e935494
hex1d716d01601

2023312332289 has 2 divisors, whose sum is σ = 2023312332290. Its totient is φ = 2023312332288.

The previous prime is 2023312332287. The next prime is 2023312332311. The reversal of 2023312332289 is 9822332133202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2010766540225 + 12545792064 = 1418015^2 + 112008^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023312332289 - 21 = 2023312332287 is a prime.

Together with 2023312332287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2023312332287) 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, 1011656166144 + 1011656166145.

It is an arithmetic number, because the mean of its divisors is an integer number (1011656166145).

Almost surely, 22023312332289 is an apocalyptic number.

It is an amenable number.

2023312332289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023312332289 is an equidigital number, since it uses as much as digits as its factorization.

2023312332289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 2023312332289 in words is "two trillion, twenty-three billion, three hundred twelve million, three hundred thirty-two thousand, two hundred eighty-nine".