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200011120000 = 275417241211
BaseRepresentation
bin1011101001000110010…
…1110111110110000000
3201010021010012122021021
42322101211313312000
511234110321320000
6231514524235224
720310314316556
oct2722145676600
9633233178237
10200011120000
117790807688a
123291b39bb14
1315b26713763
149975777bd6
15530941e11a
hex2e91977d80

200011120000 has 480 divisors, whose sum is σ = 544395768840. Its totient is φ = 73113600000.

The previous prime is 200011119967. The next prime is 200011120021. The reversal of 200011120000 is 21110002.

200011120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 947919895 + ... + 947920105.

Almost surely, 2200011120000 is an apocalyptic number.

200011120000 is a gapful number since it is divisible by the number (20) 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 200011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272197884420).

200011120000 is an abundant number, since it is smaller than the sum of its proper divisors (344384648840).

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

200011120000 is an equidigital number, since it uses as much as digits as its factorization.

200011120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 276 counting only the distinct ones).

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

Adding to 200011120000 its reverse (21110002), we get a palindrome (200032230002).

The spelling of 200011120000 in words is "two hundred billion, eleven million, one hundred twenty thousand".