Search a number
-
+
11143022000000 = 275611506501
BaseRepresentation
bin1010001000100110111111…
…0111100011011110000000
31110110021002100210001201112
42202021233313203132000
52430031402113000000
635411011133222452
72230025321134262
oct242115767433600
943407070701645
1011143022000000
11360680246a410
1212bb713631a28
1362aa23101117
142a747a295b32
15144cc7868235
hexa226fde3780

11143022000000 has 224 divisors, whose sum is σ = 30271021119720. Its totient is φ = 4052000000000.

The previous prime is 11143021999981. The next prime is 11143022000029. The reversal of 11143022000000 is 22034111.

11143022000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 21746750 + ... + 22253250.

Almost surely, 211143022000000 is an apocalyptic number.

11143022000000 is a gapful number since it is divisible by the number (10) 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 11143022000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135510559860).

11143022000000 is an abundant number, since it is smaller than the sum of its proper divisors (19127999119720).

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

11143022000000 is an frugal number, since it uses more digits than its factorization.

11143022000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506556 (or 506519 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11143022000000 its reverse (22034111), we get a palindrome (11143044034111).

The spelling of 11143022000000 in words is "eleven trillion, one hundred forty-three billion, twenty-two million", and thus it is an aban number.