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11020022122000 = 24535510011061
BaseRepresentation
bin1010000001011100110010…
…0000010000011000010000
31110000111121021210212020111
42200113030200100120100
52421023001130401000
635234310035051104
72215112264335003
oct240271440203020
943014537725214
1011020022122000
113569624218581
12129b907140a94
1361c250575c18
142a152c77953a
151419c9344cba
hexa05cc810610

11020022122000 has 40 divisors (see below), whose sum is σ = 26646413495832. Its totient is φ = 4408008848000.

The previous prime is 11020022121991. The next prime is 11020022122051. The reversal of 11020022122000 is 22122002011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 292222411776 + 10727799710224 = 540576^2 + 3275332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2755003531 + ... + 2755007530.

Almost surely, 211020022122000 is an apocalyptic number.

11020022122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020022122000 is an abundant number, since it is smaller than the sum of its proper divisors (15626391373832).

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

11020022122000 is an equidigital number, since it uses as much as digits as its factorization.

11020022122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510011084 (or 5510011068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11020022122000 its reverse (22122002011), we get a palindrome (11042144124011).

The spelling of 11020022122000 in words is "eleven trillion, twenty billion, twenty-two million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5510011061 11020022122 22040044244 27550055305 44080088488 55100110610 88160176976 110200221220 137750276525 220400442440 275500553050 440800884880 551001106100 688751382625 1102002212200 1377502765250 2204004424400 2755005530500 5510011061000 11020022122000