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12763108361 is a prime number
BaseRepresentation
bin10111110001011110…
…11001010000001001
31012221111001002020002
423320233121100021
5202114323431421
65510245412345
7631165426313
oct137057312011
935844032202
1012763108361
11545a495243
12258240a0b5
13128529b933
148911027b3
154ea75bb0b
hex2f8bd9409

12763108361 has 2 divisors, whose sum is σ = 12763108362. Its totient is φ = 12763108360.

The previous prime is 12763108357. The next prime is 12763108399. The reversal of 12763108361 is 16380136721.

12763108361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (12763108399) can be obtained adding 12763108361 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10347975625 + 2415132736 = 101725^2 + 49144^2 .

It is a cyclic number.

It is not a de Polignac number, because 12763108361 - 22 = 12763108357 is a prime.

It is not a weakly prime, because it can be changed into another prime (12763108661) 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, 6381554180 + 6381554181.

It is an arithmetic number, because the mean of its divisors is an integer number (6381554181).

Almost surely, 212763108361 is an apocalyptic number.

It is an amenable number.

12763108361 is a deficient number, since it is larger than the sum of its proper divisors (1).

12763108361 is an equidigital number, since it uses as much as digits as its factorization.

12763108361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 12763108361 in words is "twelve billion, seven hundred sixty-three million, one hundred eight thousand, three hundred sixty-one".