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2013113093 is a prime number
BaseRepresentation
bin111011111111101…
…1010101100000101
312012022000202000012
41313333122230011
513110324104333
6531432000005
7100613115245
oct16777325405
95168022005
102013113093
11943393732
12482230005
132610b8ba4
1415150db25
15bbb02e48
hex77fdab05

2013113093 has 2 divisors, whose sum is σ = 2013113094. Its totient is φ = 2013113092.

The previous prime is 2013113083. The next prime is 2013113107. The reversal of 2013113093 is 3903113102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1656734209 + 356378884 = 40703^2 + 18878^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2013113093 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013113083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006556546 + 1006556547.

It is an arithmetic number, because the mean of its divisors is an integer number (1006556547).

Almost surely, 22013113093 is an apocalyptic number.

It is an amenable number.

2013113093 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013113093 is an equidigital number, since it uses as much as digits as its factorization.

2013113093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 2013113093 is about 44867.7288593929. The cubic root of 2013113093 is about 1262.6686307183.

Adding to 2013113093 its reverse (3903113102), we get a palindrome (5916226195).

The spelling of 2013113093 in words is "two billion, thirteen million, one hundred thirteen thousand, ninety-three".