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21220121111202 = 2341317641924661
BaseRepresentation
bin1001101001100101100011…
…10001111110101010100010
32210010121211201120222020000
410310302301301332222202
510240132302001024302
6113044220012000430
74320050245241466
oct464626161765242
983117751528200
1021220121111202
116841448183852
122468727760116
13bac08339bcb0
145350b8b964a6
1526beb626231c
hex134cb1c7eaa2

21220121111202 has 160 divisors (see below), whose sum is σ = 54303172673904. Its totient is φ = 6135599923200.

The previous prime is 21220121111177. The next prime is 21220121111209. The reversal of 21220121111202 is 20211112102212.

21220121111202 is a `hidden beast` number, since 21 + 220 + 1 + 211 + 11 + 202 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11450176883721 + 9769944227481 = 3383811^2 + 3125691^2 .

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

It is not an unprimeable number, because it can be changed into a prime (21220121111209) 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 79 ways as a sum of consecutive naturals, for example, 22486752 + ... + 23411412.

Almost surely, 221220121111202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21220121111202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27151586336952).

21220121111202 is an abundant number, since it is smaller than the sum of its proper divisors (33083051562702).

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

21220121111202 is a wasteful number, since it uses less digits than its factorization.

21220121111202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925346 (or 925337 counting only the distinct ones).

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

Adding to 21220121111202 its reverse (20211112102212), we get a palindrome (41431233213414).

The spelling of 21220121111202 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-one million, one hundred eleven thousand, two hundred two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 221 234 306 351 442 459 641 663 702 918 1053 1282 1326 1377 1923 1989 2106 2754 3846 3978 5769 5967 8333 10897 11538 11934 16666 17307 17901 21794 24999 32691 34614 35802 49998 51921 65382 74997 98073 103842 141661 149994 196146 224991 283322 294219 424983 449982 588438 674973 849966 882657 924661 1274949 1349946 1765314 1849322 2549898 2773983 3824847 5547966 7649694 8321949 11474541 12020593 15719237 16643898 22949082 24041186 24965847 31438474 36061779 47157711 49931694 72123558 74897541 94315422 108185337 141473133 149795082 204350081 216370674 282946266 324556011 408700162 424419399 592707701 613050243 649112022 848838798 973668033 1185415402 1226100486 1273258197 1778123103 1839150729 1947336066 2546516394 3556246206 3678301458 5334369309 5517452187 7705200113 10076030917 10668738618 11034904374 15410400226 16003107927 16552356561 20152061834 23115600339 30228092751 32006215854 33104713122 46231200678 48009323781 60456185502 69346801017 90684278253 96018647562 130988401921 138693602034 181368556506 208040403051 261976803842 272052834759 392965205763 416080806102 544105669518 624121209153 785930411526 816158504277 1178895617289 1248242418306 1632317008554 2357791234578 3536686851867 7073373703734 10610060555601 21220121111202