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110002000000 = 275655001
BaseRepresentation
bin110011001110010100…
…0010101000010000000
3101111221020011120212011
41212130220111002000
53300241003000000
6122311220342304
710642644400234
oct1463450250200
9344836146764
10110002000000
1142719296802
121939b544994
13a4b0a4a339
1454775845c4
152cdc3902ba
hex199ca15080

110002000000 has 112 divisors (see below), whose sum is σ = 273932235810. Its totient is φ = 44000000000.

The previous prime is 110001999997. The next prime is 110002000033. The reversal of 110002000000 is 200011.

It can be written as a sum of positive squares in 7 ways, for example, as 91460275776 + 18541724224 = 302424^2 + 136168^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 1972500 + ... + 2027500.

Almost surely, 2110002000000 is an apocalyptic number.

110002000000 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 110002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136966117905).

110002000000 is an abundant number, since it is smaller than the sum of its proper divisors (163930235810).

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

110002000000 is an frugal number, since it uses more digits than its factorization.

110002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55045 (or 55008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

Adding to 110002000000 its reverse (200011), we get a palindrome (110002200011).

The spelling of 110002000000 in words is "one hundred ten billion, two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 12500 15625 16000 20000 25000 31250 40000 50000 55001 62500 80000 100000 110002 125000 200000 220004 250000 275005 400000 440008 500000 550010 880016 1000000 1100020 1375025 1760032 2000000 2200040 2750050 3520064 4400080 5500100 6875125 7040128 8800160 11000200 13750250 17600320 22000400 27500500 34375625 35200640 44000800 55001000 68751250 88001600 110002000 137502500 171878125 176003200 220004000 275005000 343756250 440008000 550010000 687512500 859390625 880016000 1100020000 1375025000 1718781250 2200040000 2750050000 3437562500 4400080000 5500100000 6875125000 11000200000 13750250000 22000400000 27500500000 55001000000 110002000000