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2013440321 is a prime number
BaseRepresentation
bin111100000000010…
…1010100101000001
312012022122100212202
41320000222211001
513110420042241
6531443002545
7100615650254
oct17000524501
95168570782
102013440321
11943597572
12482369455
132611a1b09
1415159709b
15bbb69d9b
hex7802a941

2013440321 has 2 divisors, whose sum is σ = 2013440322. Its totient is φ = 2013440320.

The previous prime is 2013440291. The next prime is 2013440327. The reversal of 2013440321 is 1230443102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1093228096 + 920212225 = 33064^2 + 30335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2013440321 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2013440293 and 2013440302.

It is not a weakly prime, because it can be changed into another prime (2013440327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006720160 + 1006720161.

It is an arithmetic number, because the mean of its divisors is an integer number (1006720161).

Almost surely, 22013440321 is an apocalyptic number.

It is an amenable number.

2013440321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013440321 is an equidigital number, since it uses as much as digits as its factorization.

2013440321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2013440321 is about 44871.3752965072. The cubic root of 2013440321 is about 1262.7370418683.

Adding to 2013440321 its reverse (1230443102), we get a palindrome (3243883423).

The spelling of 2013440321 in words is "two billion, thirteen million, four hundred forty thousand, three hundred twenty-one".