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112120331220 = 223659837823
BaseRepresentation
bin110100001101011100…
…1000111101111010100
3101201101212011222000000
41220122321013233110
53314110301044340
6123301331451300
711046306043062
oct1503271075724
9351355158000
10112120331220
1143606005367
1219890a56b30
13a75a885b71
1455d8a43032
152db3328d30
hex1a1ae47bd4

112120331220 has 168 divisors, whose sum is σ = 353421847296. Its totient is φ = 29864521152.

The previous prime is 112120331201. The next prime is 112120331233. The reversal of 112120331220 is 22133021211.

112120331220 is a `hidden beast` number, since 112 + 1 + 2 + 0 + 331 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112120331193 and 112120331202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14328229 + ... + 14336051.

It is an arithmetic number, because the mean of its divisors is an integer number (2103701472).

Almost surely, 2112120331220 is an apocalyptic number.

112120331220 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 112120331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176710923648).

112120331220 is an abundant number, since it is smaller than the sum of its proper divisors (241301516076).

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

112120331220 is an equidigital number, since it uses as much as digits as its factorization.

112120331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8833 (or 8816 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112120331220 its reverse (22133021211), we get a palindrome (134253352431).

The spelling of 112120331220 in words is "one hundred twelve billion, one hundred twenty million, three hundred thirty-one thousand, two hundred twenty".