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2013130073 is a prime number
BaseRepresentation
bin111011111111101…
…1110110101011001
312012022001121022002
41313333132311121
513110330130243
6531432210345
7100613215613
oct16777366531
95168047262
102013130073
119433a5469
124822399b5
132610c3836
14151515db3
15bbb07eb8
hex77fded59

2013130073 has 2 divisors, whose sum is σ = 2013130074. Its totient is φ = 2013130072.

The previous prime is 2013130051. The next prime is 2013130079. The reversal of 2013130073 is 3700313102.

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., 1947633424 + 65496649 = 44132^2 + 8093^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013130073 - 222 = 2008935769 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013130079) 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, 1006565036 + 1006565037.

It is an arithmetic number, because the mean of its divisors is an integer number (1006565037).

Almost surely, 22013130073 is an apocalyptic number.

It is an amenable number.

2013130073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013130073 is an equidigital number, since it uses as much as digits as its factorization.

2013130073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 2013130073 is about 44867.9180818544. The cubic root of 2013130073 is about 1262.6721807843.

Adding to 2013130073 its reverse (3700313102), we get a palindrome (5713443175).

The spelling of 2013130073 in words is "two billion, thirteen million, one hundred thirty thousand, seventy-three".