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221331209221 is a prime number
BaseRepresentation
bin1100111000100001011…
…1100011110000000101
3210011021221201101111101
43032020113203300011
512111241242143341
6245402251540101
721663536144233
oct3161027436005
9704257641441
10221331209221
1185958774431
1236a8b45a631
1317b4373b275
14a9d90cd953
155b55ee7831
hex33885e3c05

221331209221 has 2 divisors, whose sum is σ = 221331209222. Its totient is φ = 221331209220.

The previous prime is 221331209207. The next prime is 221331209243. The reversal of 221331209221 is 122902133122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 153738489025 + 67592720196 = 392095^2 + 259986^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221331209221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221331209221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221331209251) 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, 110665604610 + 110665604611.

It is an arithmetic number, because the mean of its divisors is an integer number (110665604611).

Almost surely, 2221331209221 is an apocalyptic number.

It is an amenable number.

221331209221 is a deficient number, since it is larger than the sum of its proper divisors (1).

221331209221 is an equidigital number, since it uses as much as digits as its factorization.

221331209221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 221331209221 in words is "two hundred twenty-one billion, three hundred thirty-one million, two hundred nine thousand, two hundred twenty-one".