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22014321331200 = 2103521137704287
BaseRepresentation
bin1010000000101100110111…
…10011011000110000000000
32212221112210220102100201220
411000112123303120300000
510341140312230044300
6114453123430555040
74431324255600102
oct500263363306000
985845726370656
1022014321331200
11701824852aa30
122576633808a80
13c38c318b3083
145616dab4b572
1528299a2bada0
hex14059bcd8c00

22014321331200 has 528 divisors, whose sum is σ = 81518214595584. Its totient is φ = 5192559820800.

The previous prime is 22014321331199. The next prime is 22014321331201. The reversal of 22014321331200 is 213312341022.

It is an interprime number because it is at equal distance from previous prime (22014321331199) and next prime (22014321331201).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22014321331201) by changing a digit.

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, 30905457 + ... + 31609743.

Almost surely, 222014321331200 is an apocalyptic number.

22014321331200 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 22014321331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40759107297792).

22014321331200 is an abundant number, since it is smaller than the sum of its proper divisors (59503893264384).

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

22014321331200 is a wasteful number, since it uses less digits than its factorization.

22014321331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704368 (or 704345 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22014321331200 its reverse (213312341022), we get a palindrome (22227633672222).

The spelling of 22014321331200 in words is "twenty-two trillion, fourteen billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred".