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22010212000000 = 285672112297
BaseRepresentation
bin1010000000100101001101…
…10111100010000100000000
32212221011012111222201002001
411000102212313202010000
510341103403233000000
6114451203553433344
74431120400055500
oct500224667420400
985834174881061
1022010212000000
117016529961644
12257588756b854
13c38728431853
1456142b097a00
1528280964b46a
hex1404a6de2100

22010212000000 has 378 divisors, whose sum is σ = 63884023016226. Its totient is φ = 7546291200000.

The previous prime is 22010211999983. The next prime is 22010212000033. The reversal of 22010212000000 is 21201022.

It can be written as a sum of positive squares in 7 ways, for example, as 21888025399296 + 122186600704 = 4678464^2 + 349552^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 195943852 + ... + 196056148.

Almost surely, 222010212000000 is an apocalyptic number.

22010212000000 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 22010212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31942011508113).

22010212000000 is an abundant number, since it is smaller than the sum of its proper divisors (41873811016226).

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

22010212000000 is an frugal number, since it uses more digits than its factorization.

22010212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112357 (or 112311 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22010212000000 its reverse (21201022), we get a palindrome (22010233201022).

The spelling of 22010212000000 in words is "twenty-two trillion, ten billion, two hundred twelve million", and thus it is an aban number.