Search a number
-
+
122101323089 is a prime number
BaseRepresentation
bin111000110110111001…
…1100101010101010001
3102200011110011212212112
41301231303211111101
54000030414314324
6132031555035105
711551533056534
oct1615563452521
9380143155775
10122101323089
1147868017279
121b7b759ba95
13b68b649505
145ca4458a1b
1532996cec0e
hex1c6dce5551

122101323089 has 2 divisors, whose sum is σ = 122101323090. Its totient is φ = 122101323088.

The previous prime is 122101323061. The next prime is 122101323101. The reversal of 122101323089 is 980323101221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113909625025 + 8191698064 = 337505^2 + 90508^2 .

It is an emirp because it is prime and its reverse (980323101221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122101323089 - 224 = 122084545873 is a prime.

It is not a weakly prime, because it can be changed into another prime (122101323059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61050661544 + 61050661545.

It is an arithmetic number, because the mean of its divisors is an integer number (61050661545).

Almost surely, 2122101323089 is an apocalyptic number.

It is an amenable number.

122101323089 is a deficient number, since it is larger than the sum of its proper divisors (1).

122101323089 is an equidigital number, since it uses as much as digits as its factorization.

122101323089 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 122101323089 in words is "one hundred twenty-two billion, one hundred one million, three hundred twenty-three thousand, eighty-nine".