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21003320331000 = 23375376720477
BaseRepresentation
bin1001100011010001101110…
…11100101000101011111000
32202100220020111200020000000
410301220313130220223320
510223104300001043000
6112400443034513000
74265303600101140
oct461506734505370
982326214606000
1021003320331000
116768504853837
122432701595760
13b947b242c877
145287cd653920
15266527d69000
hex131a37728af8

21003320331000 has 1024 divisors, whose sum is σ = 85501973606400. Its totient is φ = 4728874867200.

The previous prime is 21003320330977. The next prime is 21003320331031. The reversal of 21003320331000 is 13302330012.

21003320331000 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 332 + 0 + 331 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×210033203310002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 255 ways as a sum of consecutive naturals, for example, 1025692762 + ... + 1025713238.

It is an arithmetic number, because the mean of its divisors is an integer number (83498021100).

Almost surely, 221003320331000 is an apocalyptic number.

21003320331000 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 21003320331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42750986803200).

21003320331000 is an abundant number, since it is smaller than the sum of its proper divisors (64498653275400).

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

21003320331000 is an equidigital number, since it uses as much as digits as its factorization.

21003320331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20593 (or 20561 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21003320331000 its reverse (13302330012), we get a palindrome (21016622661012).

The spelling of 21003320331000 in words is "twenty-one trillion, three billion, three hundred twenty million, three hundred thirty-one thousand".