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21322030023000 = 23325371494722643
BaseRepresentation
bin1001101100100011011000…
…00001101000000101011000
32210111100212221012002011200
410312101230001220011120
510243320004141214000
6113203112205354200
74330315531554510
oct466215401500530
983440787162150
1021322030023000
1168806930a1603
122484428868960
13bb8874512735
14539dc5560840
1526e97cd6a500
hex13646c068158

21322030023000 has 384 divisors, whose sum is σ = 82373104120320. Its totient is φ = 4873065580800.

The previous prime is 21322030022981. The next prime is 21322030023013. The reversal of 21322030023000 is 32003022312.

It is a happy number.

21322030023000 is a `hidden beast` number, since 2 + 132 + 2 + 0 + 300 + 230 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 941649679 + ... + 941672321.

It is an arithmetic number, because the mean of its divisors is an integer number (214513291980).

Almost surely, 221322030023000 is an apocalyptic number.

21322030023000 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 21322030023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41186552060160).

21322030023000 is an abundant number, since it is smaller than the sum of its proper divisors (61051074097320).

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

21322030023000 is a wasteful number, since it uses less digits than its factorization.

21322030023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37624 (or 37607 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21322030023000 its reverse (32003022312), we get a palindrome (21354033045312).

The spelling of 21322030023000 in words is "twenty-one trillion, three hundred twenty-two billion, thirty million, twenty-three thousand".