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122201332321 is a prime number
BaseRepresentation
bin111000111001111000…
…1000101101001100001
3102200102102100212202011
41301303301011221201
54000232020113241
6132045530352521
711554156120615
oct1616361055141
9380372325664
10122201332321
1147909514732
121b824b8b741
13b6a6294283
145cb384d345
1532a3387281
hex1c73c45a61

122201332321 has 2 divisors, whose sum is σ = 122201332322. Its totient is φ = 122201332320.

The previous prime is 122201332313. The next prime is 122201332333. The reversal of 122201332321 is 123233102221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112117155921 + 10084176400 = 334839^2 + 100420^2 .

It is a cyclic number.

It is not a de Polignac number, because 122201332321 - 23 = 122201332313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122201332292 and 122201332301.

It is not a weakly prime, because it can be changed into another prime (122201032321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100666160 + 61100666161.

It is an arithmetic number, because the mean of its divisors is an integer number (61100666161).

Almost surely, 2122201332321 is an apocalyptic number.

It is an amenable number.

122201332321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201332321 is an equidigital number, since it uses as much as digits as its factorization.

122201332321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122201332321 its reverse (123233102221), we get a palindrome (245434434542).

The spelling of 122201332321 in words is "one hundred twenty-two billion, two hundred one million, three hundred thirty-two thousand, three hundred twenty-one".