Search a number
-
+
21220112000117 is a prime number
BaseRepresentation
bin1001101001100101100010…
…01111001110010001110101
32210010121211002110002011102
410310302301033032101311
510240132242133000432
6113044215044415445
74320050104633532
oct464626117162165
983117732402142
1021220112000117
116841443020528
1224687246a7585
13bac08152bc14
145350b78a3d89
1526beb5562962
hex134cb13ce475

21220112000117 has 2 divisors, whose sum is σ = 21220112000118. Its totient is φ = 21220112000116.

The previous prime is 21220112000099. The next prime is 21220112000167. The reversal of 21220112000117 is 71100021102212.

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., 20959970178436 + 260141821681 = 4578206^2 + 510041^2 .

It is a cyclic number.

It is not a de Polignac number, because 21220112000117 - 232 = 21215817032821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21220112000167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10610056000058 + 10610056000059.

It is an arithmetic number, because the mean of its divisors is an integer number (10610056000059).

Almost surely, 221220112000117 is an apocalyptic number.

It is an amenable number.

21220112000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

21220112000117 is an equidigital number, since it uses as much as digits as its factorization.

21220112000117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 21220112000117 its reverse (71100021102212), we get a palindrome (92320133102329).

The spelling of 21220112000117 in words is "twenty-one trillion, two hundred twenty billion, one hundred twelve million, one hundred seventeen", and thus it is an aban number.