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3000415013 is a prime number
BaseRepresentation
bin1011001011010110…
…1011001100100101
321202002210212121222
42302311223030211
522121101240023
61213421150125
7134232051431
oct26265531445
97662725558
103000415013
1112aa724232
126b89bb345
1338a7cb3cb
142066b39c1
15128626cc8
hexb2d6b325

3000415013 has 2 divisors, whose sum is σ = 3000415014. Its totient is φ = 3000415012.

The previous prime is 3000415003. The next prime is 3000415031. The reversal of 3000415013 is 3105140003.

Together with next prime (3000415031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1814163649 + 1186251364 = 42593^2 + 34442^2 .

It is a cyclic number.

It is not a de Polignac number, because 3000415013 - 228 = 2731979557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3000414982 and 3000415000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000415003) 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, 1500207506 + 1500207507.

It is an arithmetic number, because the mean of its divisors is an integer number (1500207507).

Almost surely, 23000415013 is an apocalyptic number.

It is an amenable number.

3000415013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000415013 is an equidigital number, since it uses as much as digits as its factorization.

3000415013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 3000415013 is about 54776.0441525308. The cubic root of 3000415013 is about 1442.3160730543.

Adding to 3000415013 its reverse (3105140003), we get a palindrome (6105555016).

The spelling of 3000415013 in words is "three billion, four hundred fifteen thousand, thirteen".