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112011101111100 = 223522299127178639
BaseRepresentation
bin11001011101111110011101…
…111001001000001100111100
3112200121011020020002111200010
4121131332131321020030330
5104140142213341023400
61034121104532103220
732410351335101202
oct3135763571101474
9480534206074603
10112011101111100
11327657064aa064
1210690603164b10
134a667a86a2609
141d9351aca1072
15ce39ec0a3450
hex65df9de4833c

112011101111100 has 144 divisors (see below), whose sum is σ = 325538158668800. Its totient is φ = 29735767077120.

The previous prime is 112011101111069. The next prime is 112011101111149. The reversal of 112011101111100 is 1111101110211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626935581 + ... + 627114219.

Almost surely, 2112011101111100 is an apocalyptic number.

112011101111100 is a gapful number since it is divisible by the number (10) 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 112011101111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162769079334400).

112011101111100 is an abundant number, since it is smaller than the sum of its proper divisors (213527057557700).

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

112011101111100 is a wasteful number, since it uses less digits than its factorization.

112011101111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188012 (or 188005 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 112011101111100 its reverse (1111101110211), we get a palindrome (113122202221311).

The spelling of 112011101111100 in words is "one hundred twelve trillion, eleven billion, one hundred one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 229 300 458 687 916 1145 1374 2290 2748 3435 4580 5725 6870 9127 11450 13740 17175 18254 22900 27381 34350 36508 45635 54762 68700 91270 109524 136905 178639 182540 228175 273810 357278 456350 535917 547620 684525 714556 893195 912700 1071834 1369050 1786390 2090083 2143668 2679585 2738100 3572780 4180166 4465975 5359170 6270249 8360332 8931950 10450415 10718340 12540498 13397925 17863900 20900830 25080996 26795850 31351245 40908331 41801660 52252075 53591700 62702490 81816662 104504150 122724993 125404980 156756225 163633324 204541655 209008300 245449986 313512450 409083310 490899972 613624965 627024900 818166620 1022708275 1227249930 1630438153 2045416550 2454499860 3068124825 3260876306 4090833100 4891314459 6136249650 6521752612 8152190765 9782628918 12272499300 16304381530 19565257836 24456572295 32608763060 40760953825 48913144590 81521907650 97826289180 122282861475 163043815300 244565722950 373370337037 489131445900 746740674074 1120111011111 1493481348148 1866851685185 2240222022222 3733703370370 4480444044444 5600555055555 7467406740740 9334258425925 11201110111110 18668516851850 22402220222220 28002775277775 37337033703700 56005550555550 112011101111100