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112121212200 = 23352186868687
BaseRepresentation
bin110100001101011110…
…0011110110100101000
3101201101220211201110220
41220122330132310220
53314111012242300
6123301402410040
711046316402404
oct1503274366450
9351356751426
10112121212200
1143606557248
1219891200920
13a75ab03b5a
1455d8bd2104
152db344eda0
hex1a1af1ed28

112121212200 has 48 divisors (see below), whose sum is σ = 347575759680. Its totient is φ = 29898989760.

The previous prime is 112121212187. The next prime is 112121212201. The reversal of 112121212200 is 2212121211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112121212200.

It is not an unprimeable number, because it can be changed into a prime (112121212201) 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 11 ways as a sum of consecutive naturals, for example, 93433744 + ... + 93434943.

It is an arithmetic number, because the mean of its divisors is an integer number (7241161660).

Almost surely, 2112121212200 is an apocalyptic number.

112121212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112121212200 is an abundant number, since it is smaller than the sum of its proper divisors (235454547480).

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

112121212200 is a wasteful number, since it uses less digits than its factorization.

112121212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186868706 (or 186868697 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112121212200 its reverse (2212121211), we get a palindrome (114333333411).

The spelling of 112121212200 in words is "one hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 186868687 373737374 560606061 747474748 934343435 1121212122 1494949496 1868686870 2242424244 2803030305 3737373740 4484848488 4671717175 5606060610 7474747480 9343434350 11212121220 14015151525 18686868700 22424242440 28030303050 37373737400 56060606100 112121212200