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12972843181 is a prime number
BaseRepresentation
bin11000001010011110…
…11110000010101101
31020111002200201022101
430011033132002231
5203032021440211
65543141015101
7636323230144
oct140517360255
936432621271
1012972843181
115557917101
1226206b4491
1312b9883b8c
148b0cda75b
1550dd8a5c1
hex3053de0ad

12972843181 has 2 divisors, whose sum is σ = 12972843182. Its totient is φ = 12972843180.

The previous prime is 12972843139. The next prime is 12972843197. The reversal of 12972843181 is 18134827921.

12972843181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11873589156 + 1099254025 = 108966^2 + 33155^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12972843181 is a prime.

It is a super-2 number, since 2×129728431812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12972843101) 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, 6486421590 + 6486421591.

It is an arithmetic number, because the mean of its divisors is an integer number (6486421591).

Almost surely, 212972843181 is an apocalyptic number.

It is an amenable number.

12972843181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12972843181 is an equidigital number, since it uses as much as digits as its factorization.

12972843181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 193536, while the sum is 46.

The spelling of 12972843181 in words is "twelve billion, nine hundred seventy-two million, eight hundred forty-three thousand, one hundred eighty-one".