Search a number
-
+
34444225121 is a prime number
BaseRepresentation
bin100000000101000010…
…010010101001100001
310021220110212221010112
4200011002102221201
51031020210200441
623453511141105
72326363040255
oct400502225141
9107813787115
1034444225121
111367595a159
126813374795
13332c040ac7
14194a796265
15d68d9b4eb
hex805092a61

34444225121 has 2 divisors, whose sum is σ = 34444225122. Its totient is φ = 34444225120.

The previous prime is 34444225099. The next prime is 34444225139. The reversal of 34444225121 is 12152244443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20609760721 + 13834464400 = 143561^2 + 117620^2 .

It is a cyclic number.

It is not a de Polignac number, because 34444225121 - 218 = 34443962977 is a prime.

It is a super-2 number, since 2×344442251212 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34444225721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17222112560 + 17222112561.

It is an arithmetic number, because the mean of its divisors is an integer number (17222112561).

Almost surely, 234444225121 is an apocalyptic number.

It is an amenable number.

34444225121 is a deficient number, since it is larger than the sum of its proper divisors (1).

34444225121 is an equidigital number, since it uses as much as digits as its factorization.

34444225121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30720, while the sum is 32.

Adding to 34444225121 its reverse (12152244443), we get a palindrome (46596469564).

The spelling of 34444225121 in words is "thirty-four billion, four hundred forty-four million, two hundred twenty-five thousand, one hundred twenty-one".