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12221002221093 = 321357889135677
BaseRepresentation
bin1011000111010110110001…
…1111110000011000100101
31121021022112122202011102100
42301311230133300120211
53100212103032033333
641554130110402313
72400636553624551
oct261655437603045
947238478664370
1012221002221093
113991997175616
121454618b00399
136a8587c20803
143036dd110861
15162d6a0d0213
hexb1d6c7f0625

12221002221093 has 6 divisors (see below), whose sum is σ = 17652558763814. Its totient is φ = 8147334814056.

The previous prime is 12221002221079. The next prime is 12221002221101. The reversal of 12221002221093 is 39012220012221.

12221002221093 is a `hidden beast` number, since 122 + 210 + 0 + 222 + 109 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11602729813284 + 618272407809 = 3406278^2 + 786303^2 .

It is not a de Polignac number, because 12221002221093 - 214 = 12221002204709 is a prime.

It is a super-2 number, since 2×122210022210932 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221002221053) 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 in 5 ways as a sum of consecutive naturals, for example, 678944567830 + ... + 678944567847.

Almost surely, 212221002221093 is an apocalyptic number.

It is an amenable number.

12221002221093 is a deficient number, since it is larger than the sum of its proper divisors (5431556542721).

12221002221093 is a wasteful number, since it uses less digits than its factorization.

12221002221093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357889135683 (or 1357889135680 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 12221002221093 in words is "twelve trillion, two hundred twenty-one billion, two million, two hundred twenty-one thousand, ninety-three".

Divisors: 1 3 9 1357889135677 4073667407031 12221002221093