Search a number
-
+
122122221017 is a prime number
BaseRepresentation
bin111000110111100001…
…1010011010111011001
3102200012220111121102212
41301233003103113121
54000101242033032
6132034023004505
711552205515456
oct1615703232731
9380186447385
10122122221017
11478788a0195
121b802599735
13b692a85554
145ca713882d
15329b45bbb2
hex1c6f0d35d9

122122221017 has 2 divisors, whose sum is σ = 122122221018. Its totient is φ = 122122221016.

The previous prime is 122122220953. The next prime is 122122221029. The reversal of 122122221017 is 710122221221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79354326601 + 42767894416 = 281699^2 + 206804^2 .

It is a cyclic number.

It is not a de Polignac number, because 122122221017 - 26 = 122122220953 is a prime.

It is a super-2 number, since 2×1221222210172 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122122220983 and 122122221001.

It is not a weakly prime, because it can be changed into another prime (122122223017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61061110508 + 61061110509.

It is an arithmetic number, because the mean of its divisors is an integer number (61061110509).

Almost surely, 2122122221017 is an apocalyptic number.

It is an amenable number.

122122221017 is a deficient number, since it is larger than the sum of its proper divisors (1).

122122221017 is an equidigital number, since it uses as much as digits as its factorization.

122122221017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 448, while the sum is 23.

Adding to 122122221017 its reverse (710122221221), we get a palindrome (832244442238).

The spelling of 122122221017 in words is "one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, seventeen".