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112210000000 = 275772229
BaseRepresentation
bin110100010000000111…
…1001011100010000000
3101201122002220121102221
41220200033023202000
53314301230000000
6123314253420424
711051445156100
oct1504017134200
9351562817387
10112210000000
114365168a89a
12198b6a9a714
13a773320107
145606905200
152dbb13c61a
hex1a203cb880

112210000000 has 384 divisors, whose sum is σ = 326468890800. Its totient is φ = 38304000000.

The previous prime is 112209999997. The next prime is 112210000003. The reversal of 112210000000 is 12211.

It is an interprime number because it is at equal distance from previous prime (112209999997) and next prime (112210000003).

It can be written as a sum of positive squares in 8 ways, for example, as 81663349824 + 30546650176 = 285768^2 + 174776^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (112210000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489999886 + ... + 490000114.

Almost surely, 2112210000000 is an apocalyptic number.

112210000000 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 112210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163234445400).

112210000000 is an abundant number, since it is smaller than the sum of its proper divisors (214258890800).

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

112210000000 is an frugal number, since it uses more digits than its factorization.

112210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 112210000000 its reverse (12211), we get a palindrome (112210012211).

The spelling of 112210000000 in words is "one hundred twelve billion, two hundred ten million", and thus it is an aban number.