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2013102293 is a prime number
BaseRepresentation
bin111011111111101…
…1000000011010101
312012022000012012012
41313333120003111
513110323233133
6531431434005
7100613041616
oct16777300325
95168005165
102013102293
11943386604
12482225905
132610b3cb7
14151509c0d
15bbaeeb48
hex77fd80d5

2013102293 has 2 divisors, whose sum is σ = 2013102294. Its totient is φ = 2013102292.

The previous prime is 2013102271. The next prime is 2013102313. The reversal of 2013102293 is 3922013102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1950723889 + 62378404 = 44167^2 + 7898^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013102293 - 26 = 2013102229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013102493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006551146 + 1006551147.

It is an arithmetic number, because the mean of its divisors is an integer number (1006551147).

Almost surely, 22013102293 is an apocalyptic number.

It is an amenable number.

2013102293 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013102293 is an equidigital number, since it uses as much as digits as its factorization.

2013102293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 2013102293 is about 44867.6085054686. The cubic root of 2013102293 is about 1262.6663727154. Note that the first 3 decimals are identical.

Adding to 2013102293 its reverse (3922013102), we get a palindrome (5935115395).

The spelling of 2013102293 in words is "two billion, thirteen million, one hundred two thousand, two hundred ninety-three".