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2013030301 is a prime number
BaseRepresentation
bin111011111111100…
…0110011110011101
312012021212112102211
41313333012132131
513110313432201
6531430120421
7100612322002
oct16777063635
95167775384
102013030301
11943337507
124821b0111
1326108a2b9
141514cb8a9
15bbad8651
hex77fc679d

2013030301 has 2 divisors, whose sum is σ = 2013030302. Its totient is φ = 2013030300.

The previous prime is 2013030287. The next prime is 2013030307. The reversal of 2013030301 is 1030303102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1995766276 + 17264025 = 44674^2 + 4155^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013030301 - 223 = 2004641693 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013030307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006515150 + 1006515151.

It is an arithmetic number, because the mean of its divisors is an integer number (1006515151).

Almost surely, 22013030301 is an apocalyptic number.

It is an amenable number.

2013030301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013030301 is an equidigital number, since it uses as much as digits as its factorization.

2013030301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2013030301 is about 44866.8062268756. The cubic root of 2013030301 is about 1262.6513208290.

Adding to 2013030301 its reverse (1030303102), we get a palindrome (3043333403).

The spelling of 2013030301 in words is "two billion, thirteen million, thirty thousand, three hundred one".