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112200011220 = 223511217909091
BaseRepresentation
bin110100001111110100…
…1000100110111010100
3101201121102010010102010
41220133221010313110
53314241200324340
6123313255344220
711051264234223
oct1503751046724
9351542103363
10112200011220
1143646a88100
12198b3682070
13a7712336ab
145605464cba
152dba317b80
hex1a1fa44dd4

112200011220 has 144 divisors (see below), whose sum is σ = 365629529664. Its totient is φ = 25599974400.

The previous prime is 112200011213. The next prime is 112200011227. The reversal of 112200011220 is 22110002211.

It is an interprime number because it is at equal distance from previous prime (112200011213) and next prime (112200011227).

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

It is a junction number, because it is equal to n+sod(n) for n = 112200011196 and 112200011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112200011227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331126 + ... + 577965.

It is an arithmetic number, because the mean of its divisors is an integer number (2539093956).

Almost surely, 2112200011220 is an apocalyptic number.

112200011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112200011220 is an abundant number, since it is smaller than the sum of its proper divisors (253429518444).

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

112200011220 is a wasteful number, since it uses less digits than its factorization.

112200011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909142 (or 909129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112200011220 its reverse (22110002211), we get a palindrome (134310013431).

Subtracting from 112200011220 its reverse (22110002211), we obtain a palindrome (90090009009).

It can be divided in two parts, 1122000 and 11220, that multiplied together give a square (12588840000 = 1122002).

The spelling of 112200011220 in words is "one hundred twelve billion, two hundred million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 187 204 220 242 255 330 340 363 374 484 510 561 605 660 726 748 935 1020 1122 1210 1452 1815 1870 2057 2244 2420 2805 3630 3740 4114 5610 6171 7260 8228 10285 11220 12342 20570 24684 30855 41140 61710 123420 909091 1818182 2727273 3636364 4545455 5454546 9090910 10000001 10909092 13636365 15454547 18181820 20000002 27272730 30000003 30909094 40000004 46363641 50000005 54545460 60000006 61818188 77272735 92727282 100000010 110000011 120000012 150000015 154545470 170000017 185454564 200000020 220000022 231818205 300000030 309090940 330000033 340000034 440000044 463636410 510000051 550000055 600000060 660000066 680000068 850000085 927272820 1020000102 1100000110 1320000132 1650000165 1700000170 1870000187 2040000204 2200000220 2550000255 3300000330 3400000340 3740000374 5100000510 5610000561 6600000660 7480000748 9350000935 10200001020 11220001122 18700001870 22440002244 28050002805 37400003740 56100005610 112200011220