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21221022200202 = 23211237416422777
BaseRepresentation
bin1001101001100111001110…
…11111010111000110001010
32210010201011112011000221200
410310303213133113012022
510240141123140401302
6113044445241245030
74320111466334226
oct464634737270612
983121145130850
1021221022200202
11684186a88a300
122468939493776
13bac197c87256
14535162717786
1526c01a40681c
hex134ce77d718a

21221022200202 has 144 divisors (see below), whose sum is σ = 53170659379656. Its totient is φ = 6104206310400.

The previous prime is 21221022200167. The next prime is 21221022200219. The reversal of 21221022200202 is 20200222012212.

21221022200202 is a `hidden beast` number, since 21 + 221 + 0 + 2 + 220 + 0 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10787224240881 + 10433797959321 = 3284391^2 + 3230139^2 .

It is a super-2 number, since 2×212210222002022 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 92638 + ... + 6515414.

Almost surely, 221221022200202 is an apocalyptic number.

21221022200202 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 21221022200202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26585329689828).

21221022200202 is an abundant number, since it is smaller than the sum of its proper divisors (31949637179454).

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

21221022200202 is a wasteful number, since it uses less digits than its factorization.

21221022200202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422885 (or 6422871 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21221022200202 its reverse (20200222012212), we get a palindrome (41421244212414).

The spelling of 21221022200202 in words is "twenty-one trillion, two hundred twenty-one billion, twenty-two million, two hundred thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 37 41 66 74 82 99 111 121 123 198 222 242 246 333 363 369 407 451 666 726 738 814 902 1089 1221 1353 1517 2178 2442 2706 3034 3663 4059 4477 4551 4961 7326 8118 8954 9102 9922 13431 13653 14883 16687 26862 27306 29766 33374 40293 44649 50061 80586 89298 100122 150183 183557 300366 367114 550671 1101342 1652013 3304026 6422777 12845554 19268331 38536662 57804993 70650547 115609986 141301094 211951641 237642749 263333857 423903282 475285498 526667714 635854923 712928247 777156017 790001571 1271709846 1425856494 1554312034 1580003142 2138784741 2331468051 2370004713 2614070239 2896672427 4277569482 4662936102 4740009426 5228140478 5793344854 6994404153 7842210717 8690017281 9743352709 13988808306 15684421434 17380034562 19486705418 23526632151 26070051843 28754772629 29230058127 31863396697 47053264302 52140103686 57509545258 58460116254 63726793394 86264317887 87690174381 95590190091 107176879799 172528635774 175380348762 191180380182 214353759598 258792953661 286770570273 321530639397 517585907322 573541140546 643061278794 964591918191 1178945677789 1929183836382 2357891355578 3536837033367 7073674066734 10610511100101 21221022200202