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2023313023001 is a prime number
BaseRepresentation
bin11101011100010110110…
…110101010000000011001
321011102112011102010101102
4131130112312222000121
5231122221113214001
64145255220001145
7266115403634114
oct35342666520031
97142464363342
102023313023001
1171009a4aa046
1228816b5301b5
13118a4a430b3a
146dd00b8157b
153796ea1ee6b
hex1d716daa019

2023313023001 has 2 divisors, whose sum is σ = 2023313023002. Its totient is φ = 2023313023000.

The previous prime is 2023313022979. The next prime is 2023313023003. The reversal of 2023313023001 is 1003203133202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1679564160400 + 343748862601 = 1295980^2 + 586301^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023313023001 - 26 = 2023313022937 is a prime.

Together with 2023313023003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2023313023003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011656511500 + 1011656511501.

It is an arithmetic number, because the mean of its divisors is an integer number (1011656511501).

Almost surely, 22023313023001 is an apocalyptic number.

It is an amenable number.

2023313023001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023313023001 is an equidigital number, since it uses as much as digits as its factorization.

2023313023001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 2023313023001 its reverse (1003203133202), we get a palindrome (3026516156203).

The spelling of 2023313023001 in words is "two trillion, twenty-three billion, three hundred thirteen million, twenty-three thousand, one".