Search a number
-
+
21221220110202 = 23272175099277567
BaseRepresentation
bin1001101001100111100110…
…10010010100111101111010
32210010201200022112220102200
410310303303102110331322
510240142024322011302
6113044521031211030
74320116421465300
oct464636322247572
983121608486380
1021221220110202
116841961574a92
122468993816a76
13bac1c9c8c168
14535180b14270
1526c02c99b81c
hex134cf3494f7a

21221220110202 has 144 divisors (see below), whose sum is σ = 56643690355200. Its totient is φ = 5705406878976.

The previous prime is 21221220110201. The next prime is 21221220110227. The reversal of 21221220110202 is 20201102212212.

It is a happy number.

21221220110202 is a `hidden beast` number, since 21 + 221 + 220 + 1 + 1 + 0 + 202 = 666.

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 (21221220110201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76315623 + ... + 76593189.

It is an arithmetic number, because the mean of its divisors is an integer number (393358960800).

Almost surely, 221221220110202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221220110202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28321845177600).

21221220110202 is an abundant number, since it is smaller than the sum of its proper divisors (35422470244998).

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

21221220110202 is a wasteful number, since it uses less digits than its factorization.

21221220110202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282705 (or 282695 counting only the distinct ones).

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

Adding to 21221220110202 its reverse (20201102212212), we get a palindrome (41422322322414).

The spelling of 21221220110202 in words is "twenty-one trillion, two hundred twenty-one billion, two hundred twenty million, one hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 4998 5099 7497 10198 14994 15297 30594 35693 45891 71386 86683 91782 107079 173366 214158 249851 260049 277567 321237 499702 520098 555134 606781 642474 749553 780147 832701 1213562 1499106 1560294 1665402 1820343 1942969 2248659 2498103 3640686 3885938 4247467 4497318 4718639 4996206 5461029 5828907 8494934 9437278 10922058 11657814 12742401 13600783 14155917 17486721 25484802 27201566 28311834 33030473 34973442 38227203 40802349 42467751 66060946 76454406 81604698 84935502 99091419 122407047 198182838 231213311 244814094 297274257 462426622 594548514 693639933 1387279866 1415314133 2080919799 2830628266 4161839598 4245942399 8491884798 9907198931 12737827197 19814397862 24060340261 25475654394 29721596793 48120680522 59443193586 69350392517 72181020783 89164790379 138700785034 144362041566 168422381827 178329580758 208051177551 216543062349 336844763654 416102355102 433086124698 505267145481 624153532653 1010534290962 1178956672789 1248307065306 1515801436443 2357913345578 3031602872886 3536870018367 7073740036734 10610610055101 21221220110202