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21332102320200 = 23352713193850699
BaseRepresentation
bin1001101100110110001000…
…11000011001000001001000
32210112022212212222210102010
410312123010120121001020
510244001121143221300
6113211455453535520
74331123244641460
oct466330430310110
983468785883363
1021332102320200
1168849916a6571
122486379aa45a0
13bb97bb1941c9
1453a69d142ba0
1526ed6c259a50
hex1366c4619048

21332102320200 has 192 divisors, whose sum is σ = 75633909120000. Its totient is φ = 4872211165440.

The previous prime is 21332102320183. The next prime is 21332102320273. The reversal of 21332102320200 is 202320123312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 3614451 + ... + 7465149.

It is an arithmetic number, because the mean of its divisors is an integer number (393926610000).

Almost surely, 221332102320200 is an apocalyptic number.

21332102320200 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 21332102320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37816954560000).

21332102320200 is an abundant number, since it is smaller than the sum of its proper divisors (54301806799800).

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

21332102320200 is a wasteful number, since it uses less digits than its factorization.

21332102320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3852044 (or 3852035 counting only the distinct ones).

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

Adding to 21332102320200 its reverse (202320123312), we get a palindrome (21534422443512).

The spelling of 21332102320200 in words is "twenty-one trillion, three hundred thirty-two billion, one hundred two million, three hundred twenty thousand, two hundred".