Search a number
-
+
112123012033 is a prime number
BaseRepresentation
bin110100001101100001…
…1010110001111000001
3101201102001020011101101
41220123003112033001
53314111442341113
6123301505134401
711046340606624
oct1503303261701
9351361204341
10112123012033
114360757650a
121989192a401
13a75b2b4146
1455d913ddbb
152db36a82dd
hex1a1b0d63c1

112123012033 has 2 divisors, whose sum is σ = 112123012034. Its totient is φ = 112123012032.

The previous prime is 112123011991. The next prime is 112123012081. The reversal of 112123012033 is 330210321211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99315110449 + 12807901584 = 315143^2 + 113172^2 .

It is an emirp because it is prime and its reverse (330210321211) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112123012033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 112123012033.

It is not a weakly prime, because it can be changed into another prime (112123012093) 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, 56061506016 + 56061506017.

It is an arithmetic number, because the mean of its divisors is an integer number (56061506017).

Almost surely, 2112123012033 is an apocalyptic number.

It is an amenable number.

112123012033 is a deficient number, since it is larger than the sum of its proper divisors (1).

112123012033 is an equidigital number, since it uses as much as digits as its factorization.

112123012033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 112123012033 its reverse (330210321211), we get a palindrome (442333333244).

The spelling of 112123012033 in words is "one hundred twelve billion, one hundred twenty-three million, twelve thousand, thirty-three".