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21200211222102 = 23411467115122133
BaseRepresentation
bin1001101001000000011110…
…00011110001111001010110
32210001201110011121210220000
410310200033003301321112
510234321013033101402
6113031124221552130
74315443666051543
oct464401703617126
983051404553800
1021200211222102
116833a60601450
1224648aba15646
13baa22c584923
1453414a849bca
1526b6ed395c1c
hex13480f0f1e56

21200211222102 has 160 divisors (see below), whose sum is σ = 51981176991744. Its totient is φ = 6404690952000.

The previous prime is 21200211222059. The next prime is 21200211222133. The reversal of 21200211222102 is 20122211200212.

It is a happy number.

21200211222102 is a `hidden beast` number, since 21 + 200 + 211 + 22 + 210 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 957844228 + ... + 957866360.

Almost surely, 221200211222102 is an apocalyptic number.

21200211222102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200211222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25990588495872).

21200211222102 is an abundant number, since it is smaller than the sum of its proper divisors (30780965769642).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21200211222102 is a wasteful number, since it uses less digits than its factorization.

21200211222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23776 (or 23767 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21200211222102 its reverse (20122211200212), we get a palindrome (41322422422314).

The spelling of 21200211222102 in words is "twenty-one trillion, two hundred billion, two hundred eleven million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 467 594 891 934 1151 1401 1782 2302 2802 3453 4203 5137 6906 8406 10274 10359 12609 12661 15411 20718 22133 25218 25322 30822 31077 37827 37983 44266 46233 62154 66399 75654 75966 92466 93231 113949 132798 138699 186462 199197 227898 243463 277398 341847 398394 416097 486926 537517 597591 683694 730389 832194 1025541 1075034 1195182 1460778 1612551 1792773 2051082 2191167 3225102 3585546 4382334 4837653 5912687 6573501 9675306 10336111 11825374 13147002 14512959 17738061 19720503 20672222 25475083 29025918 31008333 35476122 39441006 43538877 50950166 53214183 62016666 76425249 87077754 93024999 106428366 113697221 152850498 159642549 186049998 227394442 229275747 279074997 280225913 319285098 341091663 458551494 478927647 558149994 560451826 682183326 687827241 837224991 840677739 957855294 1023274989 1375654482 1674449982 1681355478 2046549978 2063481723 2522033217 3069824967 4126963446 5044066434 6139649934 7566099651 9209474901 11896863761 15132199302 18418949802 22698298953 23793727522 35690591283 45396597906 71381182566 107071773849 130865501371 214143547698 261731002742 321215321547 392596504113 642430643094 785193008226 963645964641 1177789512339 1927291929282 2355579024678 3533368537017 7066737074034 10600105611051 21200211222102