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22000020110000 = 245417733176551
BaseRepresentation
bin1010000000010010001110…
…11000100011101010110000
32212220011220020011001100122
411000021013120203222300
510340422020122010000
6114442400354105412
74430310002324462
oct500110730435260
985804806131318
1022000020110000
1170121798a3859
12257390227b268
13c37792a695ca
14560b41664132
1528240e9d7085
hex140247623ab0

22000020110000 has 200 divisors, whose sum is σ = 56474700236064. Its totient is φ = 8271014400000.

The previous prime is 22000020109939. The next prime is 22000020110053. The reversal of 22000020110000 is 1102000022.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 22000020110000.

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 39 ways as a sum of consecutive naturals, for example, 124521725 + ... + 124698275.

Almost surely, 222000020110000 is an apocalyptic number.

22000020110000 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 22000020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28237350118032).

22000020110000 is an abundant number, since it is smaller than the sum of its proper divisors (34474680126064).

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

22000020110000 is a wasteful number, since it uses less digits than its factorization.

22000020110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177329 (or 177308 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 22000020110000 its reverse (1102000022), we get a palindrome (22001122110022).

The spelling of 22000020110000 in words is "twenty-two trillion, twenty million, one hundred ten thousand".