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122200110217 is a prime number
BaseRepresentation
bin111000111001110110…
…0011011010010001001
3102200102100001210100001
41301303230123102021
54000231212011332
6132045444243001
711554142540623
oct1616354332211
9380370053301
10122200110217
114790885a529
121b8246a0461
13b6a5c56c33
145cb3611c13
1532a31e50e7
hex1c73b1b489

122200110217 has 2 divisors, whose sum is σ = 122200110218. Its totient is φ = 122200110216.

The previous prime is 122200110191. The next prime is 122200110293. The reversal of 122200110217 is 712011002221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 122161434256 + 38675961 = 349516^2 + 6219^2 .

It is an emirp because it is prime and its reverse (712011002221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 122200110217 - 231 = 120052626569 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122200110194 and 122200110203.

It is not a weakly prime, because it can be changed into another prime (122200110017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100055108 + 61100055109.

It is an arithmetic number, because the mean of its divisors is an integer number (61100055109).

Almost surely, 2122200110217 is an apocalyptic number.

It is an amenable number.

122200110217 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200110217 is an equidigital number, since it uses as much as digits as its factorization.

122200110217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 122200110217 its reverse (712011002221), we get a palindrome (834211112438).

The spelling of 122200110217 in words is "one hundred twenty-two billion, two hundred million, one hundred ten thousand, two hundred seventeen".