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2023312000321 is a prime number
BaseRepresentation
bin11101011100010110110…
…010110000010101000001
321011102112002111011112101
4131130112302300111001
5231122220333002241
64145255142030401
7266115362144413
oct35342662602501
97142462434471
102023312000321
11710099970757
1228816b118401
13118a4a1634c1
146dd009969b3
153796e8bbe31
hex1d716cb0541

2023312000321 has 2 divisors, whose sum is σ = 2023312000322. Its totient is φ = 2023312000320.

The previous prime is 2023312000267. The next prime is 2023312000349. The reversal of 2023312000321 is 1230002133202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1983646896400 + 39665103921 = 1408420^2 + 199161^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023312000321 - 219 = 2023311476033 is a prime.

It is not a weakly prime, because it can be changed into another prime (2023312000361) 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, 1011656000160 + 1011656000161.

It is an arithmetic number, because the mean of its divisors is an integer number (1011656000161).

Almost surely, 22023312000321 is an apocalyptic number.

It is an amenable number.

2023312000321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023312000321 is an equidigital number, since it uses as much as digits as its factorization.

2023312000321 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.

Adding to 2023312000321 its reverse (1230002133202), we get a palindrome (3253314133523).

The spelling of 2023312000321 in words is "two trillion, twenty-three billion, three hundred twelve million, three hundred twenty-one", and thus it is an aban number.