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3003028013 is a prime number
BaseRepresentation
bin1011001011111110…
…1001001000101101
321202021201121222202
42302333221020231
522122233344023
61213553151245
7134263213466
oct26277511055
97667647882
103003028013
111301149437
126b985b525
1338b20486b
14206b93d6d
15128991128
hexb2fe922d

3003028013 has 2 divisors, whose sum is σ = 3003028014. Its totient is φ = 3003028012.

The previous prime is 3003027991. The next prime is 3003028031. The reversal of 3003028013 is 3108203003.

Together with next prime (3003028031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2671132489 + 331895524 = 51683^2 + 18218^2 .

It is a cyclic number.

It is not a de Polignac number, because 3003028013 - 26 = 3003027949 is a prime.

It is a super-3 number, since 3×30030280133 (a number of 29 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3003028043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1501514006 + 1501514007.

It is an arithmetic number, because the mean of its divisors is an integer number (1501514007).

Almost surely, 23003028013 is an apocalyptic number.

It is an amenable number.

3003028013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3003028013 is an equidigital number, since it uses as much as digits as its factorization.

3003028013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3003028013 is about 54799.8906294529. The cubic root of 3003028013 is about 1442.7346460809.

The spelling of 3003028013 in words is "three billion, three million, twenty-eight thousand, thirteen".