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221221201133 is a prime number
BaseRepresentation
bin1100111000000111001…
…1111010010011101101
3210011000021201101202202
43032001303322103231
512111030111414013
6245343322031245
721661032120032
oct3160163722355
9704007641682
10221221201133
1185901667759
1236a5a648525
1317b26a0231a
14a9c8655389
155b4b517858
hex3381cfa4ed

221221201133 has 2 divisors, whose sum is σ = 221221201134. Its totient is φ = 221221201132.

The previous prime is 221221201099. The next prime is 221221201153. The reversal of 221221201133 is 331102122122.

It is an a-pointer prime, because the next prime (221221201153) can be obtained adding 221221201133 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114956936809 + 106264264324 = 339053^2 + 325982^2 .

It is a cyclic number.

It is not a de Polignac number, because 221221201133 - 28 = 221221200877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221221201153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110610600566 + 110610600567.

It is an arithmetic number, because the mean of its divisors is an integer number (110610600567).

Almost surely, 2221221201133 is an apocalyptic number.

It is an amenable number.

221221201133 is a deficient number, since it is larger than the sum of its proper divisors (1).

221221201133 is an equidigital number, since it uses as much as digits as its factorization.

221221201133 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 20.

Adding to 221221201133 its reverse (331102122122), we get a palindrome (552323323255).

The spelling of 221221201133 in words is "two hundred twenty-one billion, two hundred twenty-one million, two hundred one thousand, one hundred thirty-three".