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2011030013 is a prime number
BaseRepresentation
bin111011111011101…
…1110000111111101
312012011002220120002
41313313132013331
513104310430023
6531315204045
7100556321156
oct16767360775
95164086502
102011030013
119421a0683
124815a6625
132608399b5
1415112a92d
15bb840b28
hex77dde1fd

2011030013 has 2 divisors, whose sum is σ = 2011030014. Its totient is φ = 2011030012.

The previous prime is 2011030009. The next prime is 2011030019. The reversal of 2011030013 is 3100301102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1934064484 + 76965529 = 43978^2 + 8773^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011030013 - 22 = 2011030009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011029976 and 2011030003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2011030019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005515006 + 1005515007.

It is an arithmetic number, because the mean of its divisors is an integer number (1005515007).

Almost surely, 22011030013 is an apocalyptic number.

It is an amenable number.

2011030013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011030013 is an equidigital number, since it uses as much as digits as its factorization.

2011030013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2011030013 is about 44844.5092848612. The cubic root of 2011030013 is about 1262.2329626113.

Adding to 2011030013 its reverse (3100301102), we get a palindrome (5111331115).

The spelling of 2011030013 in words is "two billion, eleven million, thirty thousand, thirteen".