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2003312093 is a prime number
BaseRepresentation
bin111011101101000…
…0001110111011101
312011121120210120012
41313122001313131
513100321441333
6530441533005
7100433605016
oct16732016735
95147523505
102003312093
119388aa032
1247aaa4165
1325c066a93
141500bc00d
15bad18e48
hex77681ddd

2003312093 has 2 divisors, whose sum is σ = 2003312094. Its totient is φ = 2003312092.

The previous prime is 2003312089. The next prime is 2003312123. The reversal of 2003312093 is 3902133002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1753766884 + 249545209 = 41878^2 + 15797^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003312093 - 22 = 2003312089 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2003312023) 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, 1001656046 + 1001656047.

It is an arithmetic number, because the mean of its divisors is an integer number (1001656047).

Almost surely, 22003312093 is an apocalyptic number.

It is an amenable number.

2003312093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003312093 is an equidigital number, since it uses as much as digits as its factorization.

2003312093 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 2003312093 is about 44758.3745571709. The cubic root of 2003312093 is about 1260.6161622715.

Adding to 2003312093 its reverse (3902133002), we get a palindrome (5905445095).

The spelling of 2003312093 in words is "two billion, three million, three hundred twelve thousand, ninety-three".