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22101211012221 = 351117243665351
BaseRepresentation
bin1010000011001110101101…
…10101001101110001111101
32220020212002101200111100000
411001213112311031301331
510344101240004342341
6115001053422224513
74440521416650225
oct501472665156175
986225071614300
1022101211012221
117051086491370
12258b442a25139
13c4419b206503
145659c0927085
15284d835618b6
hex1419d6d4dc7d

22101211012221 has 144 divisors (see below), whose sum is σ = 39257726796288. Its totient is φ = 12313552608000.

The previous prime is 22101211012219. The next prime is 22101211012253. The reversal of 22101211012221 is 12221011210122.

22101211012221 is a `hidden beast` number, since 221 + 0 + 1 + 211 + 0 + 12 + 221 = 666.

It is not a de Polignac number, because 22101211012221 - 21 = 22101211012219 is a prime.

It is a super-2 number, since 2×221012110122212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22101211012194 and 22101211012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22101211012261) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32884696 + ... + 33550046.

It is an arithmetic number, because the mean of its divisors is an integer number (272623102752).

Almost surely, 222101211012221 is an apocalyptic number.

It is an amenable number.

22101211012221 is a deficient number, since it is larger than the sum of its proper divisors (17156515784067).

22101211012221 is a wasteful number, since it uses less digits than its factorization.

22101211012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665454 (or 665425 counting only the distinct ones).

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

Adding to 22101211012221 its reverse (12221011210122), we get a palindrome (34322222222343).

The spelling of 22101211012221 in words is "twenty-two trillion, one hundred one billion, two hundred eleven million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 11 17 27 33 43 51 81 99 129 153 187 243 289 297 387 459 473 561 731 867 891 1161 1377 1419 1683 2193 2601 2673 3179 3483 4131 4257 5049 6579 7803 8041 9537 10449 12427 12771 15147 19737 23409 24123 28611 37281 38313 45441 59211 70227 72369 85833 111843 114939 136697 177633 217107 257499 335529 410091 651321 665351 772497 1006587 1230273 1953963 1996053 3019761 3690819 5988159 7318861 11072457 11310967 17964477 21956583 28610093 33217371 33932901 53893431 65869749 85830279 101798703 124420637 161680293 192286439 197609247 257490837 305396109 314711023 373261911 486371581 576859317 592827741 772472511 916188327 944133069 1119785733 1459114743 1730577951 1778483223 2115150829 2317417533 2748564981 2832399207 3359357199 4377344229 5191733853 5350087391 6345452487 6952252599 8268316877 8497197621 10078071597 13132032687 15575201559 16050262173 19036357461 24804950631 25491592863 30234214791 39396098061 46725604677 48150786519 57109072383 74414851893 76474778589 90951485647 118188294183 144452359557 171327217149 223244555679 272854456941 433357078671 513981651447 669733667037 818563370823 1300071236013 2009201001111 2455690112469 7367070337407 22101211012221