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13814367001 is a prime number
BaseRepresentation
bin11001101110110011…
…01000001100011001
31022122202011112222021
430313121220030121
5211242434221001
610202441454441
7666222116311
oct146731501431
938582145867
1013814367001
115949939436
1228164a1421
1313c2015076
14950994441
1555cbb5ba1
hex337668319

13814367001 has 2 divisors, whose sum is σ = 13814367002. Its totient is φ = 13814367000.

The previous prime is 13814366959. The next prime is 13814367067. The reversal of 13814367001 is 10076341831.

13814367001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13316006025 + 498360976 = 115395^2 + 22324^2 .

It is a cyclic number.

It is not a de Polignac number, because 13814367001 - 211 = 13814364953 is a prime.

It is not a weakly prime, because it can be changed into another prime (13884367001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6907183500 + 6907183501.

It is an arithmetic number, because the mean of its divisors is an integer number (6907183501).

Almost surely, 213814367001 is an apocalyptic number.

It is an amenable number.

13814367001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13814367001 is an equidigital number, since it uses as much as digits as its factorization.

13814367001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 13814367001 in words is "thirteen billion, eight hundred fourteen million, three hundred sixty-seven thousand, one".