Search a number
-
+
21220122102173 is a prime number
BaseRepresentation
bin1001101001100101100011…
…10101110000100110011101
32210010121211210110022120122
410310302301311300212131
510240132302224232143
6113044220045124325
74320050256536561
oct464626165604635
983117753408518
1021220122102173
1168414487a0335
122468727b596a5
13bac083658077
145350b8d736a1
1526beb63aac68
hex134cb1d7099d

21220122102173 has 2 divisors, whose sum is σ = 21220122102174. Its totient is φ = 21220122102172.

The previous prime is 21220122102163. The next prime is 21220122102227. The reversal of 21220122102173 is 37120122102212.

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., 11254401238564 + 9965720863609 = 3354758^2 + 3156853^2 .

It is a cyclic number.

It is not a de Polignac number, because 21220122102173 - 226 = 21220054993309 is a prime.

It is a super-2 number, since 2×212201221021732 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21220122102163) 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, 10610061051086 + 10610061051087.

It is an arithmetic number, because the mean of its divisors is an integer number (10610061051087).

Almost surely, 221220122102173 is an apocalyptic number.

It is an amenable number.

21220122102173 is a deficient number, since it is larger than the sum of its proper divisors (1).

21220122102173 is an equidigital number, since it uses as much as digits as its factorization.

21220122102173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 21220122102173 its reverse (37120122102212), we get a palindrome (58340244204385).

The spelling of 21220122102173 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred two thousand, one hundred seventy-three".