Search a number
-
+
12271831849 is a prime number
BaseRepresentation
bin10110110110111010…
…10100101100101001
31011200020121122112201
423123131110230221
5200113042104344
65345415540201
7613051564264
oct133335245451
934606548481
1012271831849
1152281469a2
12246598a661
13120757c384
14845b7bcdb
154bc5684d4
hex2db754b29

12271831849 has 2 divisors, whose sum is σ = 12271831850. Its totient is φ = 12271831848.

The previous prime is 12271831813. The next prime is 12271831867. The reversal of 12271831849 is 94813817221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9779825449 + 2492006400 = 98893^2 + 49920^2 .

It is a cyclic number.

It is not a de Polignac number, because 12271831849 - 27 = 12271831721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12271831799 and 12271831808.

It is not a weakly prime, because it can be changed into another prime (12271831879) 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, 6135915924 + 6135915925.

It is an arithmetic number, because the mean of its divisors is an integer number (6135915925).

Almost surely, 212271831849 is an apocalyptic number.

It is an amenable number.

12271831849 is a deficient number, since it is larger than the sum of its proper divisors (1).

12271831849 is an equidigital number, since it uses as much as digits as its factorization.

12271831849 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 12271831849 in words is "twelve billion, two hundred seventy-one million, eight hundred thirty-one thousand, eight hundred forty-nine".