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203312103120000 = 2732547101399403
BaseRepresentation
bin101110001110100101001001…
…101011110101110010000000
3222122212110002000222120011100
4232032211021223311302000
5203122031141344320000
62000224142450014400
760552546306316350
oct5616451153656200
9878773060876140
10203312103120000
11598661a696a536
121a9772b7b77400
13895a331248b44
14382c503240b60
1518789337d1a00
hexb8e949af5c80

203312103120000 has 960 divisors, whose sum is σ = 843795364800960. Its totient is φ = 46011110400000.

The previous prime is 203312103119977. The next prime is 203312103120017. The reversal of 203312103120000 is 21301213302.

203312103120000 is a `hidden beast` number, since 2 + 0 + 331 + 21 + 0 + 312 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×2033121031200002 (a number of 29 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 508840299 + ... + 509239701.

It is an arithmetic number, because the mean of its divisors is an integer number (878953505001).

Almost surely, 2203312103120000 is an apocalyptic number.

203312103120000 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 203312103120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421897682400480).

203312103120000 is an abundant number, since it is smaller than the sum of its proper divisors (640483261680960).

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

203312103120000 is a wasteful number, since it uses less digits than its factorization.

203312103120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399551 (or 399521 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203312103120000 its reverse (21301213302), we get a palindrome (203333404333302).

The spelling of 203312103120000 in words is "two hundred three trillion, three hundred twelve billion, one hundred three million, one hundred twenty thousand".