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202221201111012 = 2232171327262195003
BaseRepresentation
bin101101111110101101001010…
…110110111011011111100100
3222112000011021012101121211200
4231332231022312323133210
5203001143004441023022
61554031045354002500
760410666610250056
oct5576551266733744
9875004235347750
10202221201111012
1159485591149886
121a81b9a7116430
1388ab4ba310105
1437d17b61b98d6
15185a386916bac
hexb7eb4adbb7e4

202221201111012 has 144 divisors (see below), whose sum is σ = 541859323928832. Its totient is φ = 63369282862080.

The previous prime is 202221201110987. The next prime is 202221201111031. The reversal of 202221201111012 is 210111102122202.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2128529503 + ... + 2128624505.

It is an arithmetic number, because the mean of its divisors is an integer number (3762911971728).

Almost surely, 2202221201111012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202221201111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270929661964416).

202221201111012 is an abundant number, since it is smaller than the sum of its proper divisors (339638122817820).

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

202221201111012 is a wasteful number, since it uses less digits than its factorization.

202221201111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98978 (or 98973 counting only the distinct ones).

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

Adding to 202221201111012 its reverse (210111102122202), we get a palindrome (412332303233214).

The spelling of 202221201111012 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred one million, one hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1327 2621 2654 3981 5242 5308 7863 7962 10484 11943 15726 15924 22559 23589 23886 31452 44557 45118 47178 47772 67677 89114 90236 94356 95003 133671 135354 178228 190006 203031 267342 270708 285009 380012 401013 406062 534684 570018 802026 812124 855027 1140036 1604052 1615051 1710054 3230102 3420108 3478067 4845153 6460204 6956134 9690306 10434201 13912268 14535459 19380612 20868402 29070918 31302603 41736804 58141836 59127139 62605206 118254278 125210412 126068981 177381417 236508556 249002863 252137962 354762834 378206943 498005726 504275924 532144251 709525668 747008589 756413886 996011452 1064288502 1134620829 1494017178 1512827772 2128577004 2143172677 2241025767 2269241658 2988034356 4233048671 4286345354 4482051534 4538483316 6429518031 8466097342 8572690708 8964103068 12699146013 12859036062 16932194684 19288554093 25398292026 25718072124 38097438039 38577108186 50796584052 76194876078 77154216372 152389752156 330426799201 660853598402 991280397603 1321707196804 1982560795206 2973841192809 3965121590412 5617255586417 5947682385618 11234511172834 11895364771236 16851766759251 22469022345668 33703533518502 50555300277753 67407067037004 101110600555506 202221201111012