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112211022200 = 235241103132857
BaseRepresentation
bin110100010000001001…
…1000101000101111000
3101201122011211112122012
41220200103011011320
53314302010202300
6123314331345052
711051456644214
oct1504023050570
9351564745565
10112211022200
1143652218892
12198b72b2188
13a7735ba474
145606acd944
152dbb290435
hex1a204c5178

112211022200 has 96 divisors (see below), whose sum is σ = 269850540960. Its totient is φ = 43364198400.

The previous prime is 112211022181. The next prime is 112211022221. The reversal of 112211022200 is 2220112211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778172 + ... + 911028.

It is an arithmetic number, because the mean of its divisors is an integer number (2810943135).

Almost surely, 2112211022200 is an apocalyptic number.

112211022200 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 112211022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134925270480).

112211022200 is an abundant number, since it is smaller than the sum of its proper divisors (157639518760).

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

112211022200 is a wasteful number, since it uses less digits than its factorization.

112211022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133017 (or 133008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112211022200 its reverse (2220112211), we get a palindrome (114431134411).

The spelling of 112211022200 in words is "one hundred twelve billion, two hundred eleven million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 103 164 200 205 206 328 410 412 515 820 824 1025 1030 1640 2050 2060 2575 4100 4120 4223 5150 8200 8446 10300 16892 20600 21115 33784 42230 84460 105575 132857 168920 211150 265714 422300 531428 664285 844600 1062856 1328570 2657140 3321425 5314280 5447137 6642850 10894274 13285700 13684271 21788548 26571400 27235685 27368542 43577096 54471370 54737084 68421355 108942740 109474168 136178425 136842710 217885480 272356850 273685420 342106775 544713700 547370840 561055111 684213550 1089427400 1122110222 1368427100 2244220444 2736854200 2805275555 4488440888 5610551110 11221102220 14026377775 22442204440 28052755550 56105511100 112211022200