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22200201332321 is a prime number
BaseRepresentation
bin1010000110000111000110…
…00111010100011001100001
32220121022121012102210010212
411003003203013110121201
510402212003020113241
6115114344240303505
74450624453540445
oct503034307243141
986538535383125
1022200201332321
11708a063991a71
1225a666a611b95
13c50615799b0c
1456a6d183a825
15287728d06beb
hex1430e31d4661

22200201332321 has 2 divisors, whose sum is σ = 22200201332322. Its totient is φ = 22200201332320.

The previous prime is 22200201332297. The next prime is 22200201332363. The reversal of 22200201332321 is 12323310200222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22198807056721 + 1394275600 = 4711561^2 + 37340^2 .

It is a cyclic number.

It is not a de Polignac number, because 22200201332321 - 214 = 22200201315937 is a prime.

It is not a weakly prime, because it can be changed into another prime (22200201332821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11100100666160 + 11100100666161.

It is an arithmetic number, because the mean of its divisors is an integer number (11100100666161).

Almost surely, 222200201332321 is an apocalyptic number.

It is an amenable number.

22200201332321 is a deficient number, since it is larger than the sum of its proper divisors (1).

22200201332321 is an equidigital number, since it uses as much as digits as its factorization.

22200201332321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 22200201332321 its reverse (12323310200222), we get a palindrome (34523511532543).

The spelling of 22200201332321 in words is "twenty-two trillion, two hundred billion, two hundred one million, three hundred thirty-two thousand, three hundred twenty-one".