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11200010000 = 24541120001
BaseRepresentation
bin10100110111001001…
…01001011100010000
31001220112210110101012
422123210221130100
5140414200310000
65051211030052
7544355341244
oct123344513420
931815713335
1011200010000
114828128313
122206a3b328
1310964b636a
14783696424
154583eb735
hex29b929710

11200010000 has 50 divisors (see below), whose sum is σ = 27116368422. Its totient is φ = 4480000000.

The previous prime is 11200009999. The next prime is 11200010027. The reversal of 11200010000 is 1000211.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1832867344 + 9367142656 = 42812^2 + 96784^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 550001 + ... + 570000.

Almost surely, 211200010000 is an apocalyptic number.

11200010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200010000 is an abundant number, since it is smaller than the sum of its proper divisors (15916358422).

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

11200010000 is an equidigital number, since it uses as much as digits as its factorization.

11200010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120029 (or 1120008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 11200010000 its reverse (1000211), we get a palindrome (11201010211).

The spelling of 11200010000 in words is "eleven billion, two hundred million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 1120001 2240002 4480004 5600005 8960008 11200010 17920016 22400020 28000025 44800040 56000050 89600080 112000100 140000125 224000200 280000250 448000400 560000500 700000625 1120001000 1400001250 2240002000 2800002500 5600005000 11200010000