Search a number
-
+
2112211128173 is a prime number
BaseRepresentation
bin11110101111001001100…
…110000000111101101101
321110220222121212202222012
4132233021212000331231
5234101302022100143
64254200354531005
7305413363233236
oct36571146007555
97426877782865
102112211128173
11744869131253
122a143b296a65
13124246b8ab33
14743355aa08d
1539e2428e418
hex1ebc9980f6d

2112211128173 has 2 divisors, whose sum is σ = 2112211128174. Its totient is φ = 2112211128172.

The previous prime is 2112211128091. The next prime is 2112211128179. The reversal of 2112211128173 is 3718211122112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1999840020649 + 112371107524 = 1414157^2 + 335218^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112211128173 - 222 = 2112206933869 is a prime.

It is a super-2 number, since 2×21122111281732 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2112211128179) 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, 1056105564086 + 1056105564087.

It is an arithmetic number, because the mean of its divisors is an integer number (1056105564087).

Almost surely, 22112211128173 is an apocalyptic number.

It is an amenable number.

2112211128173 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112211128173 is an equidigital number, since it uses as much as digits as its factorization.

2112211128173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 32.

The spelling of 2112211128173 in words is "two trillion, one hundred twelve billion, two hundred eleven million, one hundred twenty-eight thousand, one hundred seventy-three".