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10221222111210 = 23251125571685077
BaseRepresentation
bin1001010010111101000001…
…0100000010011111101010
31100012010202112122212222200
42110233100110002133222
52314431030330024320
633423321542401030
72103313261304535
oct224572024023752
940163675585880
1010221222111210
113290883462500
121190b36730176
13591b1b0b8b46
142749d193da1c
1512ad2658a290
hex94bd05027ea

10221222111210 has 144 divisors (see below), whose sum is σ = 29263192613928. Its totient is φ = 2473421955840.

The previous prime is 10221222111209. The next prime is 10221222111241. The reversal of 10221222111210 is 1211122212201.

10221222111210 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 221 + 11 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7817565672081 + 2403656439129 = 2795991^2 + 1550373^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5223192 + ... + 6908268.

Almost surely, 210221222111210 is an apocalyptic number.

10221222111210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221222111210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14631596306964).

10221222111210 is an abundant number, since it is smaller than the sum of its proper divisors (19041970502718).

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

10221222111210 is a wasteful number, since it uses less digits than its factorization.

10221222111210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685669 (or 1685655 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10221222111210 its reverse (1211122212201), we get a palindrome (11432344323411).

The spelling of 10221222111210 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 557 605 726 990 1089 1114 1210 1671 1815 2178 2785 3342 3630 5013 5445 5570 6127 8355 10026 10890 12254 16710 18381 25065 30635 36762 50130 55143 61270 67397 91905 110286 134794 183810 202191 275715 336985 404382 551430 606573 673970 1010955 1213146 1685077 2021910 3032865 3370154 5055231 6065730 8425385 10110462 15165693 16850770 18535847 25276155 30331386 37071694 50552310 55607541 75828465 92679235 111215082 151656930 166822623 185358470 203894317 278037705 333645246 407788634 556075410 611682951 834113115 938587889 1019471585 1223365902 1668226230 1835048853 1877175778 2038943170 2815763667 3058414755 3670097706 4692939445 5631527334 6116829510 8447291001 9175244265 9385878890 10324466779 14078818335 16894582002 18350488530 20648933558 28157636670 30973400337 42236455005 51622333895 61946800674 84472910010 92920201011 103244667790 113569134569 154867001685 185840402022 227138269138 309734003370 340707403707 464601005055 567845672845 681414807414 929202010110 1022122211121 1135691345690 1703537018535 2044244422242 3407074037070 5110611055605 10221222111210