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2003312021 is a prime number
BaseRepresentation
bin111011101101000…
…0001110110010101
312011121120210110112
41313122001312111
513100321441041
6530441532405
7100433604554
oct16732016625
95147523415
102003312021
119388a9a77
1247aaa4105
1325c066a39
141500bbd9b
15bad18deb
hex77681d95

2003312021 has 2 divisors, whose sum is σ = 2003312022. Its totient is φ = 2003312020.

The previous prime is 2003312009. The next prime is 2003312023. The reversal of 2003312021 is 1202133002.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1070009521 + 933302500 = 32711^2 + 30550^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003312021 - 230 = 929570197 is a prime.

Together with 2003312023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003311987 and 2003312005.

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 (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001656010 + 1001656011.

It is an arithmetic number, because the mean of its divisors is an integer number (1001656011).

Almost surely, 22003312021 is an apocalyptic number.

It is an amenable number.

2003312021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003312021 is an equidigital number, since it uses as much as digits as its factorization.

2003312021 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.

The square root of 2003312021 is about 44758.3737528521. The cubic root of 2003312021 is about 1260.6161471691.

Adding to 2003312021 its reverse (1202133002), we get a palindrome (3205445023).

The spelling of 2003312021 in words is "two billion, three million, three hundred twelve thousand, twenty-one".