Search a number
-
+
12458181821 is a prime number
BaseRepresentation
bin10111001101001000…
…01100010010111101
31012011020021012122112
423212210030102331
5201003243304241
65420114023405
7620503540541
oct134644142275
935136235575
1012458181821
115313356438
1224b8277b65
131237067627
14862809a21
154cdac81eb
hex2e690c4bd

12458181821 has 2 divisors, whose sum is σ = 12458181822. Its totient is φ = 12458181820.

The previous prime is 12458181811. The next prime is 12458181913. The reversal of 12458181821 is 12818185421.

12458181821 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., 9426468100 + 3031713721 = 97090^2 + 55061^2 .

It is an emirp because it is prime and its reverse (12818185421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12458181821 - 226 = 12391072957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12458181811) 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, 6229090910 + 6229090911.

It is an arithmetic number, because the mean of its divisors is an integer number (6229090911).

Almost surely, 212458181821 is an apocalyptic number.

It is an amenable number.

12458181821 is a deficient number, since it is larger than the sum of its proper divisors (1).

12458181821 is an equidigital number, since it uses as much as digits as its factorization.

12458181821 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40960, while the sum is 41.

The spelling of 12458181821 in words is "twelve billion, four hundred fifty-eight million, one hundred eighty-one thousand, eight hundred twenty-one".