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21322323321012 = 22337377197151733
BaseRepresentation
bin1001101100100011111011…
…00000011110000010110100
32210111101122101002011102000
410312101331200132002310
510243321104232233022
6113203201244015300
74330326022551660
oct466217540360264
983441571064360
1021322323321012
11688082370875a
1224844aab31530
13bb88c0204b5c
1453a0124ab8a0
1526e9989a36ac
hex13647d81e0b4

21322323321012 has 768 divisors, whose sum is σ = 67008490536960. Its totient is φ = 5737568256000.

The previous prime is 21322323320953. The next prime is 21322323321059. The reversal of 21322323321012 is 21012332322312.

21322323321012 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 2 + 323 + 321 + 0 + 12 = 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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29089117398 + ... + 29089118130.

It is an arithmetic number, because the mean of its divisors is an integer number (87250638720).

Almost surely, 221322323321012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21322323321012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33504245268480).

21322323321012 is an abundant number, since it is smaller than the sum of its proper divisors (45686167215948).

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

21322323321012 is a wasteful number, since it uses less digits than its factorization.

21322323321012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21322323321012 its reverse (21012332322312), we get a palindrome (42334655643324).

The spelling of 21322323321012 in words is "twenty-one trillion, three hundred twenty-two billion, three hundred twenty-three million, three hundred twenty-one thousand, twelve".