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112211012100200 = 235213217195285437
BaseRepresentation
bin11001100000111000101001…
…100001000010000001101000
3112201022021020100212222011112
4121200320221201002001220
5104201431123044201300
61034353005522245452
732430656325342206
oct3140705141020150
9481267210788145
10112211012100200
1132832471aa5032
12107032b4ab6888
134a7c5b7427b00
141d9d083212076
15ce8cec7e3e35
hex660e29842068

112211012100200 has 144 divisors (see below), whose sum is σ = 299120658238980. Its totient is φ = 38994595860480.

The previous prime is 112211012100197. The next prime is 112211012100221. The reversal of 112211012100200 is 2001210112211.

It can be written as a sum of positive squares in 18 ways, for example, as 38113657987876 + 74097354112324 = 6173626^2 + 8607982^2 .

It is a super-2 number, since 2×1122110121002002 (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, 97068119 + ... + 98217318.

Almost surely, 2112211012100200 is an apocalyptic number.

112211012100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211012100200 is an abundant number, since it is smaller than the sum of its proper divisors (186909646138780).

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

112211012100200 is a wasteful number, since it uses less digits than its factorization.

112211012100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195285496 (or 195285474 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112211012100200 its reverse (2001210112211), we get a palindrome (114212222212411).

The spelling of 112211012100200 in words is "one hundred twelve trillion, two hundred eleven billion, twelve million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 169 170 200 221 260 325 338 340 425 442 520 650 676 680 845 850 884 1105 1300 1352 1690 1700 1768 2210 2600 2873 3380 3400 4225 4420 5525 5746 6760 8450 8840 11050 11492 14365 16900 22100 22984 28730 33800 44200 57460 71825 114920 143650 287300 574600 195285437 390570874 781141748 976427185 1562283496 1952854370 2538710681 3319852429 3905708740 4882135925 5077421362 6639704858 7811417480 9764271850 10154842724 12693553405 13279409716 16599262145 19528543700 20309685448 25387106810 26558819432 33003238853 33198524290 39057087400 43158081577 50774213620 63467767025 66006477706 66397048580 82996310725 86316163154 101548427240 126935534050 132012955412 132794097160 165016194265 165992621450 172632326308 215790407885 253871068100 264025910824 330032388530 331985242900 345264652616 431580815770 507742136200 561055060501 660064777060 663970485800 825080971325 863161631540 1078952039425 1122110121002 1320129554120 1650161942650 1726323263080 2157904078850 2244220242004 2805275302505 3300323885300 4315808157700 4488440484008 5610550605010 6600647770600 8631616315400 11221101210020 14026376512525 22442202420040 28052753025050 56105506050100 112211012100200