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10020000112221 = 31119293974613011
BaseRepresentation
bin1001000111001111011010…
…0011000001111001011101
31022110220101000222020000110
42101303312203001321131
52303131430012042341
633151042520520233
72052630641446341
oct221636643017135
938426330866013
1010020000112221
11321350492a390
121159b39920079
13578b60872258
14268d83443621
1512599abd2216
hex91cf68c1e5d

10020000112221 has 128 divisors (see below), whose sum is σ = 15950433945600. Its totient is φ = 5526880128000.

The previous prime is 10020000112217. The next prime is 10020000112237. The reversal of 10020000112221 is 12221100002001.

It is not a de Polignac number, because 10020000112221 - 22 = 10020000112217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10020000112197 and 10020000112206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020000111221) 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 127 ways as a sum of consecutive naturals, for example, 3327796606 + ... + 3327799616.

It is an arithmetic number, because the mean of its divisors is an integer number (124612765200).

Almost surely, 210020000112221 is an apocalyptic number.

10020000112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10020000112221 is a deficient number, since it is larger than the sum of its proper divisors (5930433833379).

10020000112221 is a wasteful number, since it uses less digits than its factorization.

10020000112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10020000112221 its reverse (12221100002001), we get a palindrome (22241100114222).

The spelling of 10020000112221 in words is "ten trillion, twenty billion, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 11 19 29 33 57 87 209 319 397 461 551 627 957 1191 1383 1653 3011 4367 5071 6061 7543 8759 9033 11513 13101 13369 15213 18183 22629 26277 33121 34539 40107 57209 82973 87319 96349 99363 126643 147059 171627 183017 218747 248919 254011 261957 289047 379929 441177 549051 629299 656241 762033 960509 1195367 1388071 1659061 1887897 2013187 2406217 2794121 2881527 3477323 3586101 4164213 4977183 5307493 6039561 7218651 8382363 10431969 13149037 15268781 15922479 18249671 22711973 26373349 34665643 38250553 39447111 40254059 45806343 54749013 58382423 68135919 79120047 100842367 103996929 114751659 120762177 175147269 249831703 290106839 302527101 381322073 442794649 551064187 658647217 749495109 764827121 870320517 1109266037 1143966219 1328383947 1653192561 1975941651 2294481363 3327798111 6061706057 7245119387 8413098331 10470219553 15980861423 18185118171 21735358161 25239294993 31410658659 47942584269 115172415083 175789475653 303636367037 345517245249 527368426959 910909101111 3340000037407 10020000112221