Search a number
-
+
2012220121 is a prime number
BaseRepresentation
bin111011111110000…
…0000101011011001
312012020100101002011
41313330000223121
513110112020441
6531400505521
7100602405652
oct16774005331
95166311064
102012220121
1194293383a
12481a7b2a1
13260b655c2
1415135a529
15bb9c8581
hex77f00ad9

2012220121 has 2 divisors, whose sum is σ = 2012220122. Its totient is φ = 2012220120.

The previous prime is 2012220097. The next prime is 2012220157. The reversal of 2012220121 is 1210222102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1994872896 + 17347225 = 44664^2 + 4165^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2012220121 is a prime.

It is a super-4 number, since 4×20122201214 (a number of 38 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (2012221121) 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, 1006110060 + 1006110061.

It is an arithmetic number, because the mean of its divisors is an integer number (1006110061).

Almost surely, 22012220121 is an apocalyptic number.

It is an amenable number.

2012220121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012220121 is an equidigital number, since it uses as much as digits as its factorization.

2012220121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2012220121 is about 44857.7765944769. The cubic root of 2012220121 is about 1262.4819059067.

Adding to 2012220121 its reverse (1210222102), we get a palindrome (3222442223).

The spelling of 2012220121 in words is "two billion, twelve million, two hundred twenty thousand, one hundred twenty-one".