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11300013130032 = 24331143329916763
BaseRepresentation
bin1010010001101111110101…
…0001001100000100110000
31111000021022100021210002000
42210123331101030010300
52440114411330130112
640011053202054000
72244253600542654
oct244337521140460
944007270253060
1011300013130032
113667343903a80
12132602764a300
1363c781b9c0c3
142b0cd0334a64
15148e150ad7dc
hexa46fd44c130

11300013130032 has 320 divisors, whose sum is σ = 36219896064000. Its totient is φ = 3343399476480.

The previous prime is 11300013129991. The next prime is 11300013130033. The reversal of 11300013130032 is 23003131000311.

It is a happy number.

11300013130032 is a `hidden beast` number, since 1 + 1 + 300 + 0 + 1 + 31 + 300 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11300013129987 and 11300013130014.

It is not an unprimeable number, because it can be changed into a prime (11300013130033) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 674096083 + ... + 674112845.

It is an arithmetic number, because the mean of its divisors is an integer number (113187175200).

Almost surely, 211300013130032 is an apocalyptic number.

11300013130032 is a gapful number since it is divisible by the number (12) 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 11300013130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18109948032000).

11300013130032 is an abundant number, since it is smaller than the sum of its proper divisors (24919882933968).

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

11300013130032 is a wasteful number, since it uses less digits than its factorization.

11300013130032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20133 (or 20121 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11300013130032 its reverse (23003131000311), we get a palindrome (34303144130343).

The spelling of 11300013130032 in words is "eleven trillion, three hundred billion, thirteen million, one hundred thirty thousand, thirty-two".