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122201033222321 is a prime number
BaseRepresentation
bin11011110010010000100101…
…001011010010100010110001
3121000200022020010002200222022
4123302100211023102202301
5112004120204001103241
61111522214001321225
734511506343656214
oct3362204513224261
9530608203080868
10122201033222321
1135a34192530439
1211857466936215
13532567b07cc61
1422267c0d1977b
15e1dae164c54b
hex6f24252d28b1

122201033222321 has 2 divisors, whose sum is σ = 122201033222322. Its totient is φ = 122201033222320.

The previous prime is 122201033222297. The next prime is 122201033222327. The reversal of 122201033222321 is 123222330102221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65461934631025 + 56739098591296 = 8090855^2 + 7532536^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122201033222321 is a prime.

It is a super-2 number, since 2×1222010332223212 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (122201033222327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61100516611160 + 61100516611161.

It is an arithmetic number, because the mean of its divisors is an integer number (61100516611161).

Almost surely, 2122201033222321 is an apocalyptic number.

It is an amenable number.

122201033222321 is a deficient number, since it is larger than the sum of its proper divisors (1).

122201033222321 is an equidigital number, since it uses as much as digits as its factorization.

122201033222321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 122201033222321 its reverse (123222330102221), we get a palindrome (245423363324542).

The spelling of 122201033222321 in words is "one hundred twenty-two trillion, two hundred one billion, thirty-three million, two hundred twenty-two thousand, three hundred twenty-one".