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112211100122220 = 223251125152024799
BaseRepresentation
bin11001100000111000101110…
…110000110011110001101100
3112201022021110111111221200100
4121200320232300303301230
5104201431313112402340
61034353022345031100
732430661444456161
oct3140705660636154
9481267414457610
10112211100122220
1132832507755300
121070331a485490
134a7c5cc736648
141d9d090ba6068
15ce8d053ce830
hex660e2ec33c6c

112211100122220 has 108 divisors (see below), whose sum is σ = 374129736926400. Its totient is φ = 27202690933440.

The previous prime is 112211100122197. The next prime is 112211100122243. The reversal of 112211100122220 is 22221001112211.

112211100122220 is a `hidden beast` number, since 1 + 1 + 221 + 1 + 100 + 122 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (112211100122197) and next prime (112211100122243).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112211100122193 and 112211100122202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2575990620 + ... + 2576034179.

It is an arithmetic number, because the mean of its divisors is an integer number (3464164230800).

Almost surely, 2112211100122220 is an apocalyptic number.

112211100122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211100122220 is an abundant number, since it is smaller than the sum of its proper divisors (261918636804180).

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

112211100122220 is a wasteful number, since it uses less digits than its factorization.

112211100122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152024836 (or 5152024820 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112211100122220 its reverse (22221001112211), we get a palindrome (134432101234431).

The spelling of 112211100122220 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 5152024799 10304049598 15456074397 20608099196 25760123995 30912148794 46368223191 51520247990 56672272789 61824297588 77280371985 92736446382 103040495980 113344545578 154560743970 170016818367 185472892764 226689091156 231841115955 283361363945 309121487940 340033636734 463682231910 510050455101 566722727890 623395000679 680067273468 850084091835 927364463820 1020100910202 1133445455780 1246790001358 1700168183670 1870185002037 2040201820404 2493580002716 2550252275505 3116975003395 3400336367340 3740370004074 5100504551010 5610555006111 6233950006790 7480740008148 9350925010185 10201009102020 11221110012222 12467900013580 18701850020370 22442220024444 28052775030555 37403700040740 56105550061110 112211100122220