Search a number
-
+
112122013021 is a prime number
BaseRepresentation
bin110100001101011111…
…1100010010101011101
3101201101222100101222221
41220122333202111131
53314111213404041
6123301431505341
711046326246224
oct1503277422535
9351358311887
10112122013021
1143606a53987
1219891528251
13a75b024505
1455d8d5dcbb
152db355c2d1
hex1a1afe255d

112122013021 has 2 divisors, whose sum is σ = 112122013022. Its totient is φ = 112122013020.

The previous prime is 112122012991. The next prime is 112122013043. The reversal of 112122013021 is 120310221211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70612432900 + 41509580121 = 265730^2 + 203739^2 .

It is an emirp because it is prime and its reverse (120310221211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112122013021 - 215 = 112121980253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112122012986 and 112122013004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112122013321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56061006510 + 56061006511.

It is an arithmetic number, because the mean of its divisors is an integer number (56061006511).

Almost surely, 2112122013021 is an apocalyptic number.

It is an amenable number.

112122013021 is a deficient number, since it is larger than the sum of its proper divisors (1).

112122013021 is an equidigital number, since it uses as much as digits as its factorization.

112122013021 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 112122013021 its reverse (120310221211), we get a palindrome (232432234232).

The spelling of 112122013021 in words is "one hundred twelve billion, one hundred twenty-two million, thirteen thousand, twenty-one".