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122200000033 is a prime number
BaseRepresentation
bin111000111001110110…
…0000000011000100001
3102200102022212012012011
41301303230000120201
54000231200000113
6132045442032521
711554141601446
oct1616354003041
9380368765164
10122200000033
1147908794771
121b824648741
13b6a5c18a37
145cb35c39cd
1532a31c263d
hex1c73b00621

122200000033 has 2 divisors, whose sum is σ = 122200000034. Its totient is φ = 122200000032.

The previous prime is 122200000007. The next prime is 122200000037. The reversal of 122200000033 is 330000002221.

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., 108624953889 + 13575046144 = 329583^2 + 116512^2 .

It is a cyclic number.

It is not a de Polignac number, because 122200000033 - 29 = 122199999521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122199999959 and 122200000022.

It is not a weakly prime, because it can be changed into another prime (122200000037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100000016 + 61100000017.

It is an arithmetic number, because the mean of its divisors is an integer number (61100000017).

Almost surely, 2122200000033 is an apocalyptic number.

It is an amenable number.

122200000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122200000033 is an equidigital number, since it uses as much as digits as its factorization.

122200000033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 122200000033 its reverse (330000002221), we get a palindrome (452200002254).

The spelling of 122200000033 in words is "one hundred twenty-two billion, two hundred million, thirty-three", and thus it is an aban number.