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11234112320000 = 2954311132471
BaseRepresentation
bin1010001101111010010101…
…0001100011001000000000
31110202222012121021202201002
42203132211101203020000
52433024430223220000
635520514023031132
72236431530106323
oct243364521431000
943688177252632
1011234112320000
1136413a6594009
1213152b559b4a8
136364aba9505b
142aba3bcd27ba
151473597b78d5
hexa37a5463200

11234112320000 has 200 divisors, whose sum is σ = 28953703249152. Its totient is φ = 4348684800000.

The previous prime is 11234112319993. The next prime is 11234112320023. The reversal of 11234112320000 is 2321143211.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9353765 + ... + 10486235.

Almost surely, 211234112320000 is an apocalyptic number.

11234112320000 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 11234112320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14476851624576).

11234112320000 is an abundant number, since it is smaller than the sum of its proper divisors (17719590929152).

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

11234112320000 is an frugal number, since it uses more digits than its factorization.

11234112320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132540 (or 1132509 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11234112320000 its reverse (2321143211), we get a palindrome (11236433463211).

The spelling of 11234112320000 in words is "eleven trillion, two hundred thirty-four billion, one hundred twelve million, three hundred twenty thousand".