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221102111000020 = 225435914759295247
BaseRepresentation
bin110010010001011101011000…
…110010010000010111010100
31001222212011012021101020120211
4302101131120302100113110
5212440014110404000040
62102124524011135204
764400046266304115
oct6221353062202724
91058764167336524
10221102111000020
11644a49735a2998
122096b0a1744504
13964aabb7ba803
143c8558385a20c
151a8658edb28ea
hexc91758c905d4

221102111000020 has 96 divisors (see below), whose sum is σ = 483199570022400. Its totient is φ = 84913902240384.

The previous prime is 221102110999967. The next prime is 221102111000039. The reversal of 221102111000020 is 20000111201122.

It is a super-2 number, since 2×2211021110000202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 748724037 + ... + 749019283.

It is an arithmetic number, because the mean of its divisors is an integer number (5033328854400).

Almost surely, 2221102111000020 is an apocalyptic number.

221102111000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221102111000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241599785011200).

221102111000020 is an abundant number, since it is smaller than the sum of its proper divisors (262097459022380).

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

221102111000020 is a wasteful number, since it uses less digits than its factorization.

221102111000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310117 (or 310115 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 221102111000020 its reverse (20000111201122), we get a palindrome (241102222201142).

The spelling of 221102111000020 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 43 59 86 118 172 215 236 295 430 590 860 1180 2537 5074 10148 12685 14759 25370 29518 50740 59036 73795 147590 295180 295247 590494 634637 870781 1180988 1269274 1476235 1741562 2538548 2952470 3173185 3483124 4353905 5904940 6346370 8707810 12692740 12695621 17415620 17419573 25391242 34839146 37443583 50782484 63478105 69678292 74887166 87097865 126956210 149774332 174195730 187217915 253912420 348391460 374435830 748871660 749041639 1498083278 2996166556 3745208195 4357550473 7490416390 8715100946 14980832780 17430201892 21787752365 43575504730 87151009460 187374670339 257095477907 374749340678 514190955814 749498681356 936873351695 1028381911628 1285477389535 1873746703390 2570954779070 3747493406780 5141909558140 11055105550001 22110211100002 44220422200004 55275527750005 110551055500010 221102111000020