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21332101120 = 211511229827
BaseRepresentation
bin10011110111011111…
…100000100000000000
32001001200010000110021
4103313133200200000
5322142004213440
613444432543224
71353425603431
oct236737404000
961050100407
1021332101120
119057462340
1241740b1b14
13201c672055
1410651a1488
1584cb9c84a
hex4f77e0800

21332101120 has 192 divisors, whose sum is σ = 56149329600. Its totient is φ = 7713914880.

The previous prime is 21332101103. The next prime is 21332101121. The reversal of 21332101120 is 2110123312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 21332101094 and 21332101103.

It is not an unprimeable number, because it can be changed into a prime (21332101121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25794147 + ... + 25794973.

It is an arithmetic number, because the mean of its divisors is an integer number (292444425).

Almost surely, 221332101120 is an apocalyptic number.

21332101120 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 21332101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28074664800).

21332101120 is an abundant number, since it is smaller than the sum of its proper divisors (34817228480).

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

21332101120 is a wasteful number, since it uses less digits than its factorization.

21332101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21332101120 its reverse (2110123312), we get a palindrome (23442224432).

The spelling of 21332101120 in words is "twenty-one billion, three hundred thirty-two million, one hundred one thousand, one hundred twenty".