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112100212121100 = 223527291840725979
BaseRepresentation
bin11001011111010001011101…
…010100101001111000001100
3112200220200020112011211202220
4121133101131110221320030
5104143122213300333400
61034230043154215340
732416654521143160
oct3137213524517014
9480820215154686
10112100212121100
113279a484328875
12106a5932284550
134a7200a2846b8
141d97971aaaca0
15ce5eb537a7a0
hex65f45d529e0c

112100212121100 has 144 divisors (see below), whose sum is σ = 383460036153600. Its totient is φ = 24739357144320.

The previous prime is 112100212121087. The next prime is 112100212121119. The reversal of 112100212121100 is 1121212001211.

It is a happy number.

It is a super-2 number, since 2×1121002121211002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112100212121100.

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, 920302090 + ... + 920423889.

Almost surely, 2112100212121100 is an apocalyptic number.

112100212121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100212121100 is an abundant number, since it is smaller than the sum of its proper divisors (271359824032500).

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

112100212121100 is a wasteful number, since it uses less digits than its factorization.

112100212121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840726032 (or 1840726025 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112100212121100 its reverse (1121212001211), we get a palindrome (113221424122311).

The spelling of 112100212121100 in words is "one hundred twelve trillion, one hundred billion, two hundred twelve million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 42 50 58 60 70 75 84 87 100 105 116 140 145 150 174 175 203 210 290 300 348 350 406 420 435 525 580 609 700 725 812 870 1015 1050 1218 1450 1740 2030 2100 2175 2436 2900 3045 4060 4350 5075 6090 8700 10150 12180 15225 20300 30450 60900 1840725979 3681451958 5522177937 7362903916 9203629895 11044355874 12885081853 18407259790 22088711748 25770163706 27610889685 36814519580 38655245559 46018149475 51540327412 53381053391 55221779370 64425409265 77310491118 92036298950 106762106782 110443558740 128850818530 138054448425 154620982236 160143160173 184072597900 193276227795 213524213564 257701637060 266905266955 276108896850 320286320346 322127046325 373667373737 386552455590 533810533910 552217793700 640572640692 644254092650 747334747474 773104911180 800715800865 966381138975 1067621067820 1121002121211 1288508185300 1334526334775 1494669494948 1601431601730 1868336868685 1932762277950 2242004242422 2669052669550 3202863203460 3736673737370 3865524555900 4003579004325 4484008484844 5338105339100 5605010606055 7473347474740 8007158008650 9341684343425 11210021212110 16014316017300 18683368686850 22420042424220 28025053030275 37366737373700 56050106060550 112100212121100