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2023300102001 is a prime number
BaseRepresentation
bin11101011100010110000…
…101010111011101110001
321011102111021002200002212
4131130112011113131301
5231122204311231001
64145254035021505
7266115156050423
oct35342605273561
97142437080085
102023300102001
11710093184332
1228816713a895
13118a47858889
146dcdd17a813
153796d81b7bb
hex1d716157771

2023300102001 has 2 divisors, whose sum is σ = 2023300102002. Its totient is φ = 2023300102000.

The previous prime is 2023300101997. The next prime is 2023300102039. The reversal of 2023300102001 is 1002010033202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1290223374400 + 733076727601 = 1135880^2 + 856199^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023300102001 - 22 = 2023300101997 is a prime.

It is not a weakly prime, because it can be changed into another prime (2023600102001) 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, 1011650051000 + 1011650051001.

It is an arithmetic number, because the mean of its divisors is an integer number (1011650051001).

Almost surely, 22023300102001 is an apocalyptic number.

It is an amenable number.

2023300102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023300102001 is an equidigital number, since it uses as much as digits as its factorization.

2023300102001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2023300102001 its reverse (1002010033202), we get a palindrome (3025310135203).

The spelling of 2023300102001 in words is "two trillion, twenty-three billion, three hundred million, one hundred two thousand, one".