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221210010112110 = 235315919121107483
BaseRepresentation
bin110010010011000001111000…
…000100101101000001101110
31002000020110200221121001112120
4302103001320010231001232
5212443301100042041420
62102250250431413410
764410616160521665
oct6223017004550156
91060213627531476
10221210010112110
11645367028588a8
1220987b94984266
139658025978676
143c8a89ba01ddc
151a892a7819d40
hexc9307812d06e

221210010112110 has 128 divisors (see below), whose sum is σ = 560236528926720. Its totient is φ = 55825068393600.

The previous prime is 221210010112027. The next prime is 221210010112139. The reversal of 221210010112110 is 11211010012122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221210010112110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73572 + ... + 21033911.

It is an arithmetic number, because the mean of its divisors is an integer number (4376847882240).

Almost surely, 2221210010112110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221210010112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280118264463360).

221210010112110 is an abundant number, since it is smaller than the sum of its proper divisors (339026518814610).

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

221210010112110 is a wasteful number, since it uses less digits than its factorization.

221210010112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21107774.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 221210010112110 its reverse (11211010012122), we get a palindrome (232421020124232).

The spelling of 221210010112110 in words is "two hundred twenty-one trillion, two hundred ten billion, ten million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 59 62 93 118 155 177 186 191 295 310 354 382 465 573 590 885 930 955 1146 1770 1829 1910 2865 3658 5487 5730 5921 9145 10974 11269 11842 17763 18290 22538 27435 29605 33807 35526 54870 56345 59210 67614 88815 112690 169035 177630 338070 349339 698678 1048017 1746695 2096034 3493390 5240085 10480170 21107483 42214966 63322449 105537415 126644898 211074830 316612245 633224490 654331973 1245341497 1308663946 1962995919 2490682994 3271659865 3736024491 3925991838 4031529253 6226707485 6543319730 7472048982 8063058506 9814979595 12094587759 12453414970 18680122455 19629959190 20157646265 24189175518 37360244910 38605586407 40315292530 60472938795 77211172814 115816759221 120945877590 124977406843 193027932035 231633518442 237860225927 249954813686 374932220529 386055864070 475720451854 579083796105 624887034215 713580677781 749864441058 1158167592210 1189301129635 1249774068430 1427161355562 1874661102645 2378602259270 3567903388905 3749322205290 7135806777810 7373667003737 14747334007474 22121001011211 36868335018685 44242002022422 73736670037370 110605005056055 221210010112110