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12211022201009 is a prime number
BaseRepresentation
bin1011000110110001100110…
…1001000000000010110001
31121020100210010120121120212
42301230121221000002301
53100031133140413014
641545355520113505
72400134341066232
oct261543151000261
947210703517525
1012211022201009
113988735767835
1214526b2765895
136a765740a598
143030338ad089
15162983d6c23e
hexb1b19a400b1

12211022201009 has 2 divisors, whose sum is σ = 12211022201010. Its totient is φ = 12211022201008.

The previous prime is 12211022200963. The next prime is 12211022201029. The reversal of 12211022201009 is 90010222011221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6420877263025 + 5790144937984 = 2533945^2 + 2406272^2 .

It is a cyclic number.

It is not a de Polignac number, because 12211022201009 - 212 = 12211022196913 is a prime.

It is not a weakly prime, because it can be changed into another prime (12211022201029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6105511100504 + 6105511100505.

It is an arithmetic number, because the mean of its divisors is an integer number (6105511100505).

Almost surely, 212211022201009 is an apocalyptic number.

It is an amenable number.

12211022201009 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211022201009 is an equidigital number, since it uses as much as digits as its factorization.

12211022201009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 12211022201009 in words is "twelve trillion, two hundred eleven billion, twenty-two million, two hundred one thousand, nine".