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112112210200 = 235216716132081
BaseRepresentation
bin110100001101001101…
…0001001000100011000
3101201101021220101001111
41220122122021010120
53314101211211300
6123300441430104
711046150030454
oct1503232110430
9351337811044
10112112210200
1143601468981
121988a19b334
13a758ca1623
1455d792b664
152db27729ba
hex1a1a689118

112112210200 has 96 divisors (see below), whose sum is σ = 262510385760. Its totient is φ = 44527308800.

The previous prime is 112112210159. The next prime is 112112210201. The reversal of 112112210200 is 2012211211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112210201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53873160 + ... + 53875240.

It is an arithmetic number, because the mean of its divisors is an integer number (2734483185).

Almost surely, 2112112210200 is an apocalyptic number.

112112210200 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 112112210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131255192880).

112112210200 is an abundant number, since it is smaller than the sum of its proper divisors (150398175560).

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

112112210200 is a wasteful number, since it uses less digits than its factorization.

112112210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112112210200 its reverse (2012211211), we get a palindrome (114124421411).

The spelling of 112112210200 in words is "one hundred twelve billion, one hundred twelve million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 167 200 334 668 835 1336 1613 1670 2081 3226 3340 4162 4175 6452 6680 8065 8324 8350 10405 12904 16130 16648 16700 20810 32260 33400 40325 41620 52025 64520 80650 83240 104050 161300 208100 269371 322600 347527 416200 538742 695054 1077484 1346855 1390108 1737635 2154968 2693710 2780216 3356653 3475270 5387420 6713306 6734275 6950540 8688175 10774840 13426612 13468550 13901080 16783265 17376350 26853224 26937100 33566530 34752700 53874200 67133060 69505400 83916325 134266120 167832650 335665300 560561051 671330600 1121122102 2242244204 2802805255 4484488408 5605610510 11211221020 14014026275 22422442040 28028052550 56056105100 112112210200