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22012243341000 = 23353114747929629
BaseRepresentation
bin1010000000101000111111…
…11100011110111011001000
32212221100110002022112001220
411000110133330132323020
510341122033243403000
6114452141320242040
74431221624142453
oct500243774367310
985840402275056
1022012243341000
117017381565160
122576153910320
13c38990230383
14561580b9049a
152828c7b501a0
hex14051ff1eec8

22012243341000 has 512 divisors, whose sum is σ = 76678078464000. Its totient is φ = 5211683712000.

The previous prime is 22012243340987. The next prime is 22012243341001. The reversal of 22012243341000 is 14334221022.

It is a happy number.

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 (22012243341001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 742914186 + ... + 742943814.

It is an arithmetic number, because the mean of its divisors is an integer number (149761872000).

Almost surely, 222012243341000 is an apocalyptic number.

22012243341000 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 22012243341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38339039232000).

22012243341000 is an abundant number, since it is smaller than the sum of its proper divisors (54665835123000).

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

22012243341000 is a wasteful number, since it uses less digits than its factorization.

22012243341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30190 (or 30176 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22012243341000 its reverse (14334221022), we get a palindrome (22026577562022).

The spelling of 22012243341000 in words is "twenty-two trillion, twelve billion, two hundred forty-three million, three hundred forty-one thousand".