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221122000009 is a prime number
BaseRepresentation
bin1100110111101111100…
…1011111010010001001
3210010202101001110102001
43031323321133102021
512110324213000014
6245325415511001
721655415662651
oct3157371372211
9703671043361
10221122000009
1185860671459
1236a31388461
1317b0c2ab331
14a9b93d1361
155b4296e974
hex337be5f489

221122000009 has 2 divisors, whose sum is σ = 221122000010. Its totient is φ = 221122000008.

The previous prime is 221121999997. The next prime is 221122000013. The reversal of 221122000009 is 900000221122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142313790025 + 78808209984 = 377245^2 + 280728^2 .

It is a cyclic number.

It is not a de Polignac number, because 221122000009 - 219 = 221121475721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221122000009.

It is not a weakly prime, because it can be changed into another prime (221122000039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110561000004 + 110561000005.

It is an arithmetic number, because the mean of its divisors is an integer number (110561000005).

Almost surely, 2221122000009 is an apocalyptic number.

It is an amenable number.

221122000009 is a deficient number, since it is larger than the sum of its proper divisors (1).

221122000009 is an equidigital number, since it uses as much as digits as its factorization.

221122000009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 221122000009 in words is "two hundred twenty-one billion, one hundred twenty-two million, nine", and thus it is an aban number.