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21332290533120 = 283957294397
BaseRepresentation
bin1001101100110110011111…
…00110010111011100000000
32210112100101000011000000000
410312123033212113130000
510244002012334024440
6113211530300000000
74331131021504260
oct466331746273400
983470330130000
1021332290533120
116884a78968736
122486410b30000
13bb981b1823b8
1453a6ba1377a0
1526ed7da36730
hex1366cf997700

21332290533120 has 2880 divisors, whose sum is σ = 93677941969920. Its totient is φ = 4550926270464.

The previous prime is 21332290533079. The next prime is 21332290533133. The reversal of 21332290533120 is 2133509223312.

21332290533120 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 2 + 290 + 53 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 219920520912 + ... + 219920521008.

It is an arithmetic number, because the mean of its divisors is an integer number (32527063184).

Almost surely, 221332290533120 is an apocalyptic number.

21332290533120 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 21332290533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46838970984960).

21332290533120 is an abundant number, since it is smaller than the sum of its proper divisors (72345651436800).

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

21332290533120 is an frugal number, since it uses more digits than its factorization.

21332290533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 21332290533120 its reverse (2133509223312), we get a palindrome (23465799756432).

The spelling of 21332290533120 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred ninety million, five hundred thirty-three thousand, one hundred twenty".