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13001067637 is a prime number
BaseRepresentation
bin11000001101110110…
…01000110001110101
31020120001210122222121
430012323020301311
5203111233131022
65550025555541
7640115152165
oct140673106165
936501718877
1013001067637
1155718445a8
12262a045bb1
1312c268693c
148b49665a5
155115b32c7
hex306ec8c75

13001067637 has 2 divisors, whose sum is σ = 13001067638. Its totient is φ = 13001067636.

The previous prime is 13001067601. The next prime is 13001067689. The reversal of 13001067637 is 73676010031.

It is a happy number.

13001067637 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., 10602614961 + 2398452676 = 102969^2 + 48974^2 .

It is a cyclic number.

It is not a de Polignac number, because 13001067637 - 211 = 13001065589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13001067697) 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, 6500533818 + 6500533819.

It is an arithmetic number, because the mean of its divisors is an integer number (6500533819).

Almost surely, 213001067637 is an apocalyptic number.

It is an amenable number.

13001067637 is a deficient number, since it is larger than the sum of its proper divisors (1).

13001067637 is an equidigital number, since it uses as much as digits as its factorization.

13001067637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 34.

Adding to 13001067637 its reverse (73676010031), we get a palindrome (86677077668).

The spelling of 13001067637 in words is "thirteen billion, one million, sixty-seven thousand, six hundred thirty-seven".