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2023322131001 is a prime number
BaseRepresentation
bin11101011100010111011…
…001011001101000111001
321011102112210112212012202
4131130113121121220321
5231122230431143001
64145300143115545
7266115544230053
oct35342731315071
97142483485182
102023322131001
117100a4660016
122881725a2bb5
13118a4c29c6a2
146dd020728d3
153797071d96b
hex1d717659a39

2023322131001 has 2 divisors, whose sum is σ = 2023322131002. Its totient is φ = 2023322131000.

The previous prime is 2023322130983. The next prime is 2023322131007. The reversal of 2023322131001 is 1001312233202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1978622023225 + 44700107776 = 1406635^2 + 211424^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023322131001 - 210 = 2023322129977 is a prime.

It is not a weakly prime, because it can be changed into another prime (2023322131007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011661065500 + 1011661065501.

It is an arithmetic number, because the mean of its divisors is an integer number (1011661065501).

Almost surely, 22023322131001 is an apocalyptic number.

It is an amenable number.

2023322131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023322131001 is an equidigital number, since it uses as much as digits as its factorization.

2023322131001 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 20.

Adding to 2023322131001 its reverse (1001312233202), we get a palindrome (3024634364203).

The spelling of 2023322131001 in words is "two trillion, twenty-three billion, three hundred twenty-two million, one hundred thirty-one thousand, one".