Search a number
-
+
12112110232301 is a prime number
BaseRepresentation
bin1011000001000001001000…
…0001110010001011101101
31120212220110210020222200102
42300100102001302023231
53041421100204413201
641432120541240445
72360033245164512
oct260202201621355
946786423228612
1012112110232301
11394a798511752
1214374a9263125
1369b22314ab51
142dc32d153309
151600e540226b
hexb04120722ed

12112110232301 has 2 divisors, whose sum is σ = 12112110232302. Its totient is φ = 12112110232300.

The previous prime is 12112110232249. The next prime is 12112110232361. The reversal of 12112110232301 is 10323201121121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10129744791076 + 1982365441225 = 3182726^2 + 1407965^2 .

It is a cyclic number.

It is not a de Polignac number, because 12112110232301 - 218 = 12112109970157 is a prime.

It is a super-3 number, since 3×121121102323013 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12112110232361) 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, 6056055116150 + 6056055116151.

It is an arithmetic number, because the mean of its divisors is an integer number (6056055116151).

Almost surely, 212112110232301 is an apocalyptic number.

It is an amenable number.

12112110232301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12112110232301 is an equidigital number, since it uses as much as digits as its factorization.

12112110232301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 12112110232301 its reverse (10323201121121), we get a palindrome (22435311353422).

The spelling of 12112110232301 in words is "twelve trillion, one hundred twelve billion, one hundred ten million, two hundred thirty-two thousand, three hundred one".