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22011210022221 = 3376121128331973
BaseRepresentation
bin1010000000100111000100…
…10110101011110101001101
32212221020210001221111012000
411000103202112223311031
510341112424231202341
6114451451004502513
74431154206111330
oct500234226536515
985836701844160
1022011210022221
1170169a12544a2
122575b0584aa39
13c38857128744
145614c384c617
1528286708b8b6
hex1404e25abd4d

22011210022221 has 128 divisors (see below), whose sum is σ = 38193797345280. Its totient is φ = 12269114323200.

The previous prime is 22011210022157. The next prime is 22011210022303. The reversal of 22011210022221 is 12222001211022.

It is a happy number.

22011210022221 is a `hidden beast` number, since 220 + 11 + 210 + 0 + 2 + 2 + 221 = 666.

It is not a de Polignac number, because 22011210022221 - 26 = 22011210022157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22011210022194 and 22011210022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011210022421) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 688415191 + ... + 688447163.

It is an arithmetic number, because the mean of its divisors is an integer number (298389041760).

Almost surely, 222011210022221 is an apocalyptic number.

22011210022221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22011210022221 is a deficient number, since it is larger than the sum of its proper divisors (16182587323059).

22011210022221 is a wasteful number, since it uses less digits than its factorization.

22011210022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32544 (or 32538 counting only the distinct ones).

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

Adding to 22011210022221 its reverse (12222001211022), we get a palindrome (34233211233243).

The spelling of 22011210022221 in words is "twenty-two trillion, eleven billion, two hundred ten million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 61 63 183 189 211 283 427 549 633 849 1281 1477 1647 1899 1981 2547 3843 4431 5697 5943 7641 11529 12871 13293 17263 17829 31973 38613 39879 51789 53487 59713 90097 95919 115839 120841 155367 179139 223811 270291 287757 347517 362523 417991 466101 537417 671433 810873 863271 1087569 1253973 1612251 1950353 2014299 2432619 3262707 3642493 3761919 5851059 6042897 6746303 9048359 10927479 11285757 13652471 17553177 20238909 25497451 27145077 32782437 40957413 47224121 52659531 60716727 63338513 76492353 81435231 98347311 122872239 141672363 182150181 190015539 229477059 244305693 368616717 411524483 425017089 551949899 570046617 688431177 1234573449 1275051267 1655849697 1710139851 1909203749 2880671381 3703720347 3863649293 4967549091 5727611247 8642014143 11111161041 11590947879 13364426243 14902647273 17182833741 25926042429 34772843637 40093278729 51548501223 77778127287 104318530911 116461428689 120279836187 349384286067 360839508561 815230000823 1048152858201 2445690002469 3144458574603 7337070007407 22011210022221