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221100221000112 = 243192931269671249
BaseRepresentation
bin110010010001011011101000…
…001000011110100110110000
31001222211222022120000022010020
4302101123220020132212300
5212440001223034000422
62102124012254003440
764366651406464236
oct6221335010364660
91058758276008106
10221100221000112
11644a4093757aa3
122096a8547a6580
13964a87a07887c
143c85444836956
151a864cdecc95c
hexc916e821e9b0

221100221000112 has 160 divisors (see below), whose sum is σ = 642033312000000. Its totient is φ = 65238868316160.

The previous prime is 221100221000089. The next prime is 221100221000177. The reversal of 221100221000112 is 211000122001122.

It is a junction number, because it is equal to n+sod(n) for n = 221100221000091 and 221100221000100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134015737 + ... + 135655512.

It is an arithmetic number, because the mean of its divisors is an integer number (4012708200000).

Almost surely, 2221100221000112 is an apocalyptic number.

It is an amenable number.

221100221000112 is an abundant number, since it is smaller than the sum of its proper divisors (420933090999888).

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

221100221000112 is a wasteful number, since it uses less digits than its factorization.

221100221000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269671339 (or 269671333 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221100221000112 its reverse (211000122001122), we get a palindrome (432100343001234).

The spelling of 221100221000112 in words is "two hundred twenty-one trillion, one hundred billion, two hundred twenty-one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 19 24 29 31 38 48 57 58 62 76 87 93 114 116 124 152 174 186 228 232 248 304 348 372 456 464 496 551 589 696 744 899 912 1102 1178 1392 1488 1653 1767 1798 2204 2356 2697 3306 3534 3596 4408 4712 5394 6612 7068 7192 8816 9424 10788 13224 14136 14384 17081 21576 26448 28272 34162 43152 51243 68324 102486 136648 204972 273296 409944 819888 269671249 539342498 809013747 1078684996 1618027494 2157369992 3236054988 4314739984 5123753731 6472109976 7820466221 8359808719 10247507462 12944219952 15371261193 15640932442 16719617438 20495014924 23461398663 25079426157 30742522386 31281864884 33439234876 40990029848 46922797326 50158852314 61485044772 62563729768 66878469752 81980059696 93845594652 100317704628 122970089544 125127459536 133756939504 148588858199 158836365661 187691189304 200635409256 242434452851 245940179088 297177716398 317672731322 375382378608 401270818512 445766574597 476509096983 484868905702 594355432796 635345462644 727303358553 891533149194 953018193966 969737811404 1188710865592 1270690925288 1454606717106 1783066298388 1906036387932 1939475622808 2377421731184 2541381850576 2909213434212 3566132596776 3812072775864 3878951245616 4606254604169 5818426868424 7132265193552 7624145551728 9212509208338 11636853736848 13818763812507 18425018416676 27637527625014 36850036833352 55275055250028 73700073666704 110550110500056 221100221000112