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21332220321000 = 2335343563293723
BaseRepresentation
bin1001101100110110010110…
…11010100001110011101000
32210112100012010000212002010
410312123023122201303220
510244001341400233000
6113211515311035520
74331126206635231
oct466331332416350
983470163025063
1021332220321000
116884a42272296
1224863b150bba0
13bb980976b174
1453a6b0a9c088
1526ed777b7d50
hex1366cb6a1ce8

21332220321000 has 256 divisors, whose sum is σ = 68225552778240. Its totient is φ = 5546411270400.

The previous prime is 21332220320947. The next prime is 21332220321011. The reversal of 21332220321000 is 12302223312.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 72480139 + ... + 72773861.

It is an arithmetic number, because the mean of its divisors is an integer number (266506065540).

Almost surely, 221332220321000 is an apocalyptic number.

21332220321000 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 21332220321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34112776389120).

21332220321000 is an abundant number, since it is smaller than the sum of its proper divisors (46893332457240).

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

21332220321000 is a wasteful number, since it uses less digits than its factorization.

21332220321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294353 (or 294339 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21332220321000 its reverse (12302223312), we get a palindrome (21344522544312).

The spelling of 21332220321000 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred twenty million, three hundred twenty-one thousand".