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11010001101112 = 23131271773746997
BaseRepresentation
bin1010000000110111011100…
…1101000110000100111000
31102222112201220111020212201
42200031313031012010320
52420341440240213422
635225531421515544
72214306043142446
oct240156715060470
942875656436781
1011010001101112
113565351656232
12129998b112bb4
1361b314408770
142a0c5b903b96
151415de6d3727
hexa0377346138

11010001101112 has 64 divisors (see below), whose sum is σ = 22408526085120. Its totient is φ = 5041135346688.

The previous prime is 11010001101091. The next prime is 11010001101139. The reversal of 11010001101112 is 21110110001011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234246798 + ... + 234293794.

It is an arithmetic number, because the mean of its divisors is an integer number (350133220080).

Almost surely, 211010001101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11010001101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11204263042560).

11010001101112 is an abundant number, since it is smaller than the sum of its proper divisors (11398524984008).

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

11010001101112 is a wasteful number, since it uses less digits than its factorization.

11010001101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64880 (or 64876 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11010001101112 its reverse (21110110001011), we get a palindrome (32120111102123).

The spelling of 11010001101112 in words is "eleven trillion, ten billion, one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 127 254 508 1016 1651 3302 6604 13208 17737 35474 46997 70948 93994 141896 187988 230581 375976 461162 610961 922324 1221922 1844648 2252599 2443844 4505198 4887688 5968619 9010396 11937238 18020792 23874476 29283787 47748952 58567574 77592047 117135148 155184094 234270296 310368188 620736376 833585789 1667171578 3334343156 6668686312 10836615257 21673230514 43346461028 86692922056 105865395203 211730790406 423461580812 846923161624 1376250137639 2752500275278 5505000550556 11010001101112