Search a number
-
+
212222011122137 is a prime number
BaseRepresentation
bin110000010000001111001001…
…100101100010000111011001
31000211102020002211210201001002
4300100033021211202013121
5210304021134321402022
62031205240200234345
762462351162615012
oct6020171145420731
91024366084721032
10212222011122137
1161690938731185
121b97606a16b9b5
1391555b0215153
143a59858b1c009
1519805aca0d092
hexc103c99621d9

212222011122137 has 2 divisors, whose sum is σ = 212222011122138. Its totient is φ = 212222011122136.

The previous prime is 212222011122119. The next prime is 212222011122229. The reversal of 212222011122137 is 731221110222212.

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., 207879271884361 + 4342739237776 = 14418019^2 + 2083924^2 .

It is a cyclic number.

It is not a de Polignac number, because 212222011122137 - 238 = 211947133215193 is a prime.

It is not a weakly prime, because it can be changed into another prime (212222011122937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106111005561068 + 106111005561069.

It is an arithmetic number, because the mean of its divisors is an integer number (106111005561069).

Almost surely, 2212222011122137 is an apocalyptic number.

It is an amenable number.

212222011122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

212222011122137 is an equidigital number, since it uses as much as digits as its factorization.

212222011122137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 212222011122137 its reverse (731221110222212), we get a palindrome (943443121344349).

The spelling of 212222011122137 in words is "two hundred twelve trillion, two hundred twenty-two billion, eleven million, one hundred twenty-two thousand, one hundred thirty-seven".