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21013120203120 = 2432574385346049
BaseRepresentation
bin1001100011100011111111…
…00100001011100101110000
32202101211112110212022021200
410301301333210023211300
510223234332232444440
6112405143312051200
74266101464453653
oct461617744134560
982354473768250
1021013120203120
1167716835a8801
122434597533b00
13b956b4819776
1452907cd9d89a
152668ed394c30
hex131c7f90b970

21013120203120 has 240 divisors, whose sum is σ = 70748418686400. Its totient is φ = 5589275295744.

The previous prime is 21013120203091. The next prime is 21013120203197. The reversal of 21013120203120 is 2130202131012.

21013120203120 is a `hidden beast` number, since 21 + 0 + 1 + 312 + 0 + 20 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 21013120203093 and 21013120203102.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 456297856 + ... + 456343904.

It is an arithmetic number, because the mean of its divisors is an integer number (294785077860).

Almost surely, 221013120203120 is an apocalyptic number.

21013120203120 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 21013120203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35374209343200).

21013120203120 is an abundant number, since it is smaller than the sum of its proper divisors (49735298483280).

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

21013120203120 is a wasteful number, since it uses less digits than its factorization.

21013120203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47664 (or 47655 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21013120203120 its reverse (2130202131012), we get a palindrome (23143322334132).

The spelling of 21013120203120 in words is "twenty-one trillion, thirteen billion, one hundred twenty million, two hundred three thousand, one hundred twenty".