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3003005021 is a prime number
BaseRepresentation
bin1011001011111110…
…0011100001011101
321202021200110110012
42302333203201131
522122232130041
61213552453005
7134263056452
oct26277434135
97667613405
103003005021
111301133135
126b984a165
1338b1c7263
14206b89829
151289893eb
hexb2fe385d

3003005021 has 2 divisors, whose sum is σ = 3003005022. Its totient is φ = 3003005020.

The previous prime is 3003005017. The next prime is 3003005053. The reversal of 3003005021 is 1205003003.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2427532900 + 575472121 = 49270^2 + 23989^2 .

It is an emirp because it is prime and its reverse (1205003003) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3003005021 - 22 = 3003005017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3003004987 and 3003005005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3003005221) 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, 1501502510 + 1501502511.

It is an arithmetic number, because the mean of its divisors is an integer number (1501502511).

Almost surely, 23003005021 is an apocalyptic number.

It is an amenable number.

3003005021 is a deficient number, since it is larger than the sum of its proper divisors (1).

3003005021 is an equidigital number, since it uses as much as digits as its factorization.

3003005021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 3003005021 is about 54799.6808476108. The cubic root of 3003005021 is about 1442.7309640818.

Adding to 3003005021 its reverse (1205003003), we get a palindrome (4208008024).

The spelling of 3003005021 in words is "three billion, three million, five thousand, twenty-one".