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112011102200 = 235229190110159
BaseRepresentation
bin110100001010001100…
…0011100011111111000
3101201010020122112221202
41220110120130133320
53313344320232300
6123242430353332
711043511442114
oct1502430343770
9351106575852
10112011102200
114355a38aa48
121986035b848
13a7410606ca
1455c832c744
152da894ead5
hex1a1461c7f8

112011102200 has 96 divisors (see below), whose sum is σ = 269574264000. Its totient is φ = 43232448000.

The previous prime is 112011102169. The next prime is 112011102277. The reversal of 112011102200 is 2201110211.

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, 11020721 + ... + 11030879.

It is an arithmetic number, because the mean of its divisors is an integer number (2808065250).

Almost surely, 2112011102200 is an apocalyptic number.

112011102200 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 112011102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134787132000).

112011102200 is an abundant number, since it is smaller than the sum of its proper divisors (157563161800).

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

112011102200 is a wasteful number, since it uses less digits than its factorization.

112011102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12105 (or 12096 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 112011102200 its reverse (2201110211), we get a palindrome (114212212411).

The spelling of 112011102200 in words is "one hundred twelve billion, eleven million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 1901 2900 3802 5800 7604 9505 10159 15208 19010 20318 38020 40636 47525 50795 55129 76040 81272 95050 101590 110258 190100 203180 220516 253975 275645 294611 380200 406360 441032 507950 551290 589222 1015900 1102580 1178444 1378225 1473055 2031800 2205160 2356888 2756450 2946110 5512900 5892220 7365275 11025800 11784440 14730550 19312259 29461100 38624518 58922200 77249036 96561295 154498072 193122590 386245180 482806475 560055511 772490360 965612950 1120111022 1931225900 2240222044 2800277555 3862451800 4480444088 5600555110 11201110220 14001387775 22402220440 28002775550 56005551100 112011102200