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13800011377 is a prime number
BaseRepresentation
bin11001101101000101…
…10111011001110001
31022121202011012202111
430312202313121301
5211230300331002
610201210045321
7665656106215
oct146642673161
938552135674
1013800011377
115941823889
122811719841
1313bc059b09
1494cad8945
1555b7cc3d7
hex3368b7671

13800011377 has 2 divisors, whose sum is σ = 13800011378. Its totient is φ = 13800011376.

The previous prime is 13800011333. The next prime is 13800011413. The reversal of 13800011377 is 77311000831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11406453601 + 2393557776 = 106801^2 + 48924^2 .

It is an emirp because it is prime and its reverse (77311000831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13800011377 - 211 = 13800009329 is a prime.

It is a super-2 number, since 2×138000113772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13800011317) 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, 6900005688 + 6900005689.

It is an arithmetic number, because the mean of its divisors is an integer number (6900005689).

Almost surely, 213800011377 is an apocalyptic number.

It is an amenable number.

13800011377 is a deficient number, since it is larger than the sum of its proper divisors (1).

13800011377 is an equidigital number, since it uses as much as digits as its factorization.

13800011377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3528, while the sum is 31.

The spelling of 13800011377 in words is "thirteen billion, eight hundred million, eleven thousand, three hundred seventy-seven".