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21543153120 = 2533547106103
BaseRepresentation
bin10100000100000100…
…100110110111100000
32001121101020120101000
4110010010212313200
5323110021344440
613521412312000
71361600531406
oct240404466740
961541216330
1021543153120
119155603885
124212912600
1320542c89a8
14108521d476
1586148b730
hex504126de0

21543153120 has 192 divisors, whose sum is σ = 77006039040. Its totient is φ = 5622557184.

The previous prime is 21543153109. The next prime is 21543153143. The reversal of 21543153120 is 2135134512.

21543153120 is a `hidden beast` number, since 215 + 431 + 5 + 3 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149989 + ... + 256091.

It is an arithmetic number, because the mean of its divisors is an integer number (401073120).

Almost surely, 221543153120 is an apocalyptic number.

21543153120 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 21543153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38503019520).

21543153120 is an abundant number, since it is smaller than the sum of its proper divisors (55462885920).

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

21543153120 is a wasteful number, since it uses less digits than its factorization.

21543153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106174 (or 106160 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 21543153120 its reverse (2135134512), we get a palindrome (23678287632).

The spelling of 21543153120 in words is "twenty-one billion, five hundred forty-three million, one hundred fifty-three thousand, one hundred twenty".