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112212101012200 = 23527286771131959
BaseRepresentation
bin11001100000111001101010…
…011010111001101011101000
3112201022101001020212102121121
4121200321222122321223220
5104201440340324342300
61034353305541345024
732431025320054600
oct3140715232715350
9481271036772547
10112212101012200
1132832980726802
1210703559708174
134a7c72bbc5937
141d9d147aa5c00
15ce8d631d981a
hex660e6a6b9ae8

112212101012200 has 144 divisors (see below), whose sum is σ = 303493729845600. Its totient is φ = 38471985417600.

The previous prime is 112212101012189. The next prime is 112212101012239. The reversal of 112212101012200 is 2210101212211.

It is a super-2 number, since 2×1122121010122002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 850289821 + ... + 850421779.

It is an arithmetic number, because the mean of its divisors is an integer number (2107595346150).

Almost surely, 2112212101012200 is an apocalyptic number.

112212101012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112212101012200 is an abundant number, since it is smaller than the sum of its proper divisors (191281628833400).

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

112212101012200 is a wasteful number, since it uses less digits than its factorization.

112212101012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218760 (or 218744 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112212101012200 its reverse (2210101212211), we get a palindrome (114422202224411).

The spelling of 112212101012200 in words is "one hundred twelve trillion, two hundred twelve billion, one hundred one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 86771 131959 173542 263918 347084 433855 527836 607397 659795 694168 867710 923713 1055672 1214794 1319590 1735420 1847426 2169275 2429588 2639180 3036985 3298975 3470840 3694852 4251779 4338550 4618565 4859176 5278360 6073970 6465991 6597950 7389704 8503558 8677100 9237130 12147940 12931982 13195900 15184925 17007116 17354200 18474260 21258895 23092825 24295880 25863964 26391800 30369850 32329955 34014232 36948520 42517790 46185650 51727928 60739700 64659910 85035580 92371300 106294475 121479400 129319820 161649775 170071160 184742600 212588950 258639640 323299550 425177900 646599100 850355800 1293198200 11450214389 22900428778 45800857556 57251071945 80151500723 91601715112 114502143890 160303001446 229004287780 286255359725 320606002892 400757503615 458008575560 561060505061 572510719450 641212005784 801515007230 1122121010122 1145021438900 1603030014460 2003787518075 2244242020244 2290042877800 2805302525305 3206060028920 4007575036150 4488484040488 5610605050610 8015150072300 11221210101220 14026512626525 16030300144600 22442420202440 28053025253050 56106050506100 112212101012200