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122100022217 is a prime number
BaseRepresentation
bin111000110110110111…
…0100111101111001001
3102200011100201210102002
41301231232213233021
54000030101202332
6132031511120345
711551516031105
oct1615556475711
9380140653362
10122100022217
1147867308978
121b7b70730b5
13b68b2b2374
145ca41da905
153299524562
hex1c6dba7bc9

122100022217 has 2 divisors, whose sum is σ = 122100022218. Its totient is φ = 122100022216.

The previous prime is 122100022189. The next prime is 122100022223. The reversal of 122100022217 is 712220001221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72988586896 + 49111435321 = 270164^2 + 221611^2 .

It is a cyclic number.

It is not a de Polignac number, because 122100022217 - 222 = 122095827913 is a prime.

It is not a weakly prime, because it can be changed into another prime (122100012217) 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, 61050011108 + 61050011109.

It is an arithmetic number, because the mean of its divisors is an integer number (61050011109).

Almost surely, 2122100022217 is an apocalyptic number.

It is an amenable number.

122100022217 is a deficient number, since it is larger than the sum of its proper divisors (1).

122100022217 is an equidigital number, since it uses as much as digits as its factorization.

122100022217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

Adding to 122100022217 its reverse (712220001221), we get a palindrome (834320023438).

The spelling of 122100022217 in words is "one hundred twenty-two billion, one hundred million, twenty-two thousand, two hundred seventeen".