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2003123093 is a prime number
BaseRepresentation
bin111011101100101…
…0011101110010101
312011121020012022012
41313121103232111
513100244414333
6530433514005
7100432160006
oct16731235625
95147205265
102003123093
11938790034
1247aa12905
1325bccba4a
1415006d1ad
15baccce48
hex77653b95

2003123093 has 2 divisors, whose sum is σ = 2003123094. Its totient is φ = 2003123092.

The previous prime is 2003123081. The next prime is 2003123099. The reversal of 2003123093 is 3903213002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1920367684 + 82755409 = 43822^2 + 9097^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003123093 - 26 = 2003123029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003123099) 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, 1001561546 + 1001561547.

It is an arithmetic number, because the mean of its divisors is an integer number (1001561547).

Almost surely, 22003123093 is an apocalyptic number.

It is an amenable number.

2003123093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003123093 is an equidigital number, since it uses as much as digits as its factorization.

2003123093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 2003123093 is about 44756.2631706446. The cubic root of 2003123093 is about 1260.5765172675.

Adding to 2003123093 its reverse (3903213002), we get a palindrome (5906336095).

The spelling of 2003123093 in words is "two billion, three million, one hundred twenty-three thousand, ninety-three".