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11242423342200 = 23352101719258023
BaseRepresentation
bin1010001110011001010010…
…1001100101010001111000
31110210202122210221102212010
42203212110221211101320
52433143440333422300
635524410433045520
72240144505453621
oct243462451452170
943722583842763
1011242423342200
113644980983aa6
121316a349b68a0
13637204894b7b
142ac1c99dca48
1514769424ca50
hexa3994a65478

11242423342200 has 192 divisors, whose sum is σ = 35245665561600. Its totient is φ = 2964156736000.

The previous prime is 11242423342147. The next prime is 11242423342201. The reversal of 11242423342200 is 224332424211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11242423342201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43442389 + ... + 43700411.

It is an arithmetic number, because the mean of its divisors is an integer number (183571174800).

Almost surely, 211242423342200 is an apocalyptic number.

11242423342200 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 11242423342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17622832780800).

11242423342200 is an abundant number, since it is smaller than the sum of its proper divisors (24003242219400).

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

11242423342200 is a wasteful number, since it uses less digits than its factorization.

11242423342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258862 (or 258853 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 11242423342200 its reverse (224332424211), we get a palindrome (11466755766411).

The spelling of 11242423342200 in words is "eleven trillion, two hundred forty-two billion, four hundred twenty-three million, three hundred forty-two thousand, two hundred".