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12423011101 is a prime number
BaseRepresentation
bin10111001000111100…
…00001101100011101
31012001210002100111021
423210132001230131
5200420242323401
65412420124141
7616565565154
oct134436015435
935053070437
1012423011101
1152a5514126
1224a8536651
13122c9a1c57
1485bc9259b
154ca97c2a1
hex2e4781b1d

12423011101 has 2 divisors, whose sum is σ = 12423011102. Its totient is φ = 12423011100.

The previous prime is 12423011099. The next prime is 12423011119. The reversal of 12423011101 is 10111032421.

12423011101 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., 10500100900 + 1922910201 = 102470^2 + 43851^2 .

It is a cyclic number.

It is not a de Polignac number, because 12423011101 - 21 = 12423011099 is a prime.

Together with 12423011099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12423011131) 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, 6211505550 + 6211505551.

It is an arithmetic number, because the mean of its divisors is an integer number (6211505551).

Almost surely, 212423011101 is an apocalyptic number.

It is an amenable number.

12423011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12423011101 is an equidigital number, since it uses as much as digits as its factorization.

12423011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 12423011101 its reverse (10111032421), we get a palindrome (22534043522).

The spelling of 12423011101 in words is "twelve billion, four hundred twenty-three million, eleven thousand, one hundred one".