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11022120211221 = 3279371225115241
BaseRepresentation
bin1010000001100100100110…
…0011110101001100010101
31110000201000111201211120200
42200121021203311030111
52421041300233224341
635235254144251113
72215215261653130
oct240311143651425
943021014654520
1011022120211221
11356a500571009
1212a01b1910a99
1361c4c6145132
142a168b289217
15141a9d630db6
hexa06498f5315

11022120211221 has 48 divisors (see below), whose sum is σ = 18217346679168. Its totient is φ = 6290706240000.

The previous prime is 11022120211189. The next prime is 11022120211229. The reversal of 11022120211221 is 12211202122011.

11022120211221 is a `hidden beast` number, since 1 + 10 + 221 + 2 + 0 + 211 + 221 = 666.

It is not a de Polignac number, because 11022120211221 - 25 = 11022120211189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11022120211194 and 11022120211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022120211229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 723181161 + ... + 723196401.

It is an arithmetic number, because the mean of its divisors is an integer number (379528055816).

Almost surely, 211022120211221 is an apocalyptic number.

It is an amenable number.

11022120211221 is a deficient number, since it is larger than the sum of its proper divisors (7195226467947).

11022120211221 is a wasteful number, since it uses less digits than its factorization.

11022120211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28442 (or 28439 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11022120211221 its reverse (12211202122011), we get a palindrome (23233322333232).

The spelling of 11022120211221 in words is "eleven trillion, twenty-two billion, one hundred twenty million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 937 2811 6559 8433 12251 15241 19677 36753 45723 59031 85757 106687 110259 137169 257271 320061 771813 960183 11479187 14280817 34437561 42842451 80354309 99965719 103312683 128527353 186717491 241062927 299897157 560152473 723188781 899691471 1307022437 1680457419 3921067311 11763201933 174954289067 524862867201 1224680023469 1574588601603 3674040070407 11022120211221