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3011301313 is a prime number
BaseRepresentation
bin1011001101111100…
…1100111111000001
321202212021221211021
42303133030333001
522131343120223
61214450345441
7134423432056
oct26337147701
97685257737
103011301313
11130588a279
1270058b281
1338cb404c7
14207d0902d
1512957765d
hexb37ccfc1

3011301313 has 2 divisors, whose sum is σ = 3011301314. Its totient is φ = 3011301312.

The previous prime is 3011301301. The next prime is 3011301331. The reversal of 3011301313 is 3131031103.

Together with next prime (3011301331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2309475249 + 701826064 = 48057^2 + 26492^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3011301313 is a prime.

It is not a weakly prime, because it can be changed into another prime (3011301373) 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, 1505650656 + 1505650657.

It is an arithmetic number, because the mean of its divisors is an integer number (1505650657).

Almost surely, 23011301313 is an apocalyptic number.

It is an amenable number.

3011301313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3011301313 is an equidigital number, since it uses as much as digits as its factorization.

3011301313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 3011301313 is about 54875.3251744352. The cubic root of 3011301313 is about 1444.0583358044.

Adding to 3011301313 its reverse (3131031103), we get a palindrome (6142332416).

The spelling of 3011301313 in words is "three billion, eleven million, three hundred one thousand, three hundred thirteen".