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200011012000 = 255350002753
BaseRepresentation
bin1011101001000110010…
…1011101011110100000
3201010021010000011010021
42322101211131132200
511234110304341000
6231514522043224
720310313356652
oct2722145353640
9633233004107
10200011012000
1177908002728
123291b349514
1315b266a6557
14997574a6d2
1553093ec11a
hex2e9195d7a0

200011012000 has 48 divisors (see below), whose sum is σ = 491427066312. Its totient is φ = 80004403200.

The previous prime is 200011011979. The next prime is 200011012013. The reversal of 200011012000 is 210110002.

200011012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23278215184 + 176732796816 = 152572^2 + 420396^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24997377 + ... + 25005376.

Almost surely, 2200011012000 is an apocalyptic number.

200011012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200011012000 is an abundant number, since it is smaller than the sum of its proper divisors (291416054312).

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

200011012000 is an equidigital number, since it uses as much as digits as its factorization.

200011012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50002778 (or 50002760 counting only the distinct ones).

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

Adding to 200011012000 its reverse (210110002), we get a palindrome (200221122002).

The spelling of 200011012000 in words is "two hundred billion, eleven million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 50002753 100005506 200011012 250013765 400022024 500027530 800044048 1000055060 1250068825 1600088096 2000110120 2500137650 4000220240 5000275300 6250344125 8000440480 10000550600 12500688250 20001101200 25001376500 40002202400 50002753000 100005506000 200011012000