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11322113220000 = 2532541117379091
BaseRepresentation
bin1010010011000010001010…
…0010010101110110100000
31111002101100112111200011200
42210300202202111312200
52441000141441020000
640025150151441200
72245665343320102
oct244604242256640
944071315450150
1011322113220000
113675754822740
12132a374986200
1364189469680b
142b1dc94cb572
151497aa3ad500
hexa4c22895da0

11322113220000 has 1440 divisors, whose sum is σ = 47734426643904. Its totient is φ = 2513203200000.

The previous prime is 11322113219971. The next prime is 11322113220091. The reversal of 11322113220000 is 2231122311.

11322113220000 is a `hidden beast` number, since 1 + 132 + 211 + 322 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 239 ways as a sum of consecutive naturals, for example, 1245415455 + ... + 1245424545.

Almost surely, 211322113220000 is an apocalyptic number.

11322113220000 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 11322113220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23867213321952).

11322113220000 is an abundant number, since it is smaller than the sum of its proper divisors (36412313423904).

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

11322113220000 is a wasteful number, since it uses less digits than its factorization.

11322113220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11322113220000 its reverse (2231122311), we get a palindrome (11324344342311).

It can be divided in two parts, 11322 and 113220000, that multiplied together give a square (1281876840000 = 11322002).

The spelling of 11322113220000 in words is "eleven trillion, three hundred twenty-two billion, one hundred thirteen million, two hundred twenty thousand".