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122210222033 is a prime number
BaseRepresentation
bin111000111010001001…
…0111111111111010001
3102200110001002112010202
41301310102333333101
54000241304101113
6132050445104545
711554324514264
oct1616422777721
9380401075122
10122210222033
11479135366a9
121b827b58155
13b6a8087663
145cb4ac4cdb
1532a4041258
hex1c744bffd1

122210222033 has 2 divisors, whose sum is σ = 122210222034. Its totient is φ = 122210222032.

The previous prime is 122210222003. The next prime is 122210222039. The reversal of 122210222033 is 330222012221.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70085679169 + 52124542864 = 264737^2 + 228308^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122210222033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122210221996 and 122210222014.

It is not a weakly prime, because it can be changed into another prime (122210222039) 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, 61105111016 + 61105111017.

It is an arithmetic number, because the mean of its divisors is an integer number (61105111017).

Almost surely, 2122210222033 is an apocalyptic number.

It is an amenable number.

122210222033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122210222033 is an equidigital number, since it uses as much as digits as its factorization.

122210222033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122210222033 its reverse (330222012221), we get a palindrome (452432234254).

The spelling of 122210222033 in words is "one hundred twenty-two billion, two hundred ten million, two hundred twenty-two thousand, thirty-three".