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11102011200000 = 293355736713
BaseRepresentation
bin1010000110001110001101…
…1011110001001000000000
31110022100020020201120022000
42201203203123301020000
52423343404331400000
635340105445344000
72224044121111560
oct241434333611000
943270206646260
1011102011200000
1135a0377991376
1212b3789108000
13626bb87cc966
142a54a9768da0
15143bc726a000
hexa18e36f1200

11102011200000 has 960 divisors, whose sum is σ = 46945022826240. Its totient is φ = 2537533440000.

The previous prime is 11102011199963. The next prime is 11102011200037. The reversal of 11102011200000 is 211020111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11102011199963) and next prime (11102011200037).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 95 ways as a sum of consecutive naturals, for example, 302381644 + ... + 302418356.

It is an arithmetic number, because the mean of its divisors is an integer number (48901065444).

Almost surely, 211102011200000 is an apocalyptic number.

11102011200000 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 11102011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23472511413120).

11102011200000 is an abundant number, since it is smaller than the sum of its proper divisors (35843011626240).

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

11102011200000 is an frugal number, since it uses more digits than its factorization.

11102011200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36772 (or 36730 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11102011200000 its reverse (211020111), we get a palindrome (11102222220111).

The spelling of 11102011200000 in words is "eleven trillion, one hundred two billion, eleven million, two hundred thousand".