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20103323220000 = 253254373018517
BaseRepresentation
bin1001001001000101010110…
…11100000111100000100000
32122011212012011022220201200
410210202223130013200200
510113333101221020000
6110431201133201200
74143263042632266
oct444425334074040
978155164286650
1020103323220000
116450853957549
1223081aa330200
13b2a973445737
144d70127c0436
1524ce00c0d500
hex1248ab707820

20103323220000 has 360 divisors, whose sum is σ = 73368949730076. Its totient is φ = 5215995648000.

The previous prime is 20103323219977. The next prime is 20103323220023. The reversal of 20103323220000 is 2232330102.

It is a happy number.

20103323220000 is a `hidden beast` number, since 2 + 0 + 10 + 332 + 322 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20103323219977) and next prime (20103323220023).

It can be written as a sum of positive squares in 10 ways, for example, as 1161713197584 + 18941610022416 = 1077828^2 + 4352196^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 5150742 + ... + 8169258.

Almost surely, 220103323220000 is an apocalyptic number.

20103323220000 is a gapful number since it is divisible by the number (20) 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 20103323220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36684474865038).

20103323220000 is an abundant number, since it is smaller than the sum of its proper divisors (53265626510076).

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

20103323220000 is a wasteful number, since it uses less digits than its factorization.

20103323220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3018590 (or 3018564 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20103323220000 its reverse (2232330102), we get a palindrome (20105555550102).

The spelling of 20103323220000 in words is "twenty trillion, one hundred three billion, three hundred twenty-three million, two hundred twenty thousand".