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13323103200000 = 283255111491129
BaseRepresentation
bin1100000111100000011011…
…0101010110001100000000
31202011200020222011201101200
43001320012311112030000
53221241203404400000
644200314335301200
72543363626444206
oct301700665261400
952150228151350
1013323103200000
114277329473110
1215b213437a800
1375849506a369
14340bad63b076
1518187023d500
hexc1e06d56300

13323103200000 has 1296 divisors, whose sum is σ = 52777332972000. Its totient is φ = 3205324800000.

The previous prime is 13323103199993. The next prime is 13323103200007. The reversal of 13323103200000 is 230132331.

13323103200000 is a `hidden beast` number, since 1 + 3 + 32 + 310 + 320 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13323103199993) and next prime (13323103200007).

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

It is not an unprimeable number, because it can be changed into a prime (13323103200007) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 11800799436 + ... + 11800800564.

It is an arithmetic number, because the mean of its divisors is an integer number (40723250750).

Almost surely, 213323103200000 is an apocalyptic number.

13323103200000 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 13323103200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26388666486000).

13323103200000 is an abundant number, since it is smaller than the sum of its proper divisors (39454229772000).

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

13323103200000 is a wasteful number, since it uses less digits than its factorization.

13323103200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13323103200000 its reverse (230132331), we get a palindrome (13323333332331).

The spelling of 13323103200000 in words is "thirteen trillion, three hundred twenty-three billion, one hundred three million, two hundred thousand".