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11002000000 = 27565501
BaseRepresentation
bin10100011111100010…
…10011001010000000
31001101202012111201111
422033301103022000
5140013003000000
65015415013104
7536432312515
oct121761231200
931352174644
1011002000000
114736384492
12217066a194
131064477a94
1476527130c
15445d36cba
hex28fc53280

11002000000 has 112 divisors (see below), whose sum is σ = 27402188310. Its totient is φ = 4400000000.

The previous prime is 11001999949. The next prime is 11002000001. The reversal of 11002000000 is 20011.

It can be written as a sum of positive squares in 7 ways, for example, as 2465718336 + 8536281664 = 49656^2 + 92392^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11002000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1997250 + ... + 2002750.

Almost surely, 211002000000 is an apocalyptic number.

11002000000 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 11002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13701094155).

11002000000 is an abundant number, since it is smaller than the sum of its proper divisors (16400188310).

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

11002000000 is an frugal number, since it uses more digits than its factorization.

11002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545 (or 5508 counting only the distinct ones).

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

Adding to 11002000000 its reverse (20011), we get a palindrome (11002020011).

The spelling of 11002000000 in words is "eleven billion, two million", and thus it is an aban number and an uban 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 5501 6250 8000 10000 11002 12500 15625 16000 20000 22004 25000 27505 31250 40000 44008 50000 55010 62500 80000 88016 100000 110020 125000 137525 176032 200000 220040 250000 275050 352064 400000 440080 500000 550100 687625 704128 880160 1000000 1100200 1375250 1760320 2000000 2200400 2750500 3438125 3520640 4400800 5501000 6876250 8801600 11002000 13752500 17190625 17603200 22004000 27505000 34381250 44008000 55010000 68762500 85953125 88016000 110020000 137525000 171906250 220040000 275050000 343812500 440080000 550100000 687625000 1100200000 1375250000 2200400000 2750500000 5501000000 11002000000