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11000021212000 = 255310212693443
BaseRepresentation
bin1010000000010010010001…
…0110110101101101100000
31102221120222101120100201001
42200010210112311231200
52420211020412241000
635221201234121344
72213503531401022
oct240044426655540
942846871510631
1011000021212000
1135610a0227897
121297a64a20254
1361a3b3940032
142a05922d8012
1514120849946a
hexa01245b5b60

11000021212000 has 96 divisors (see below), whose sum is σ = 27053533319904. Its totient is φ = 4395697344000.

The previous prime is 11000021211989. The next prime is 11000021212007. The reversal of 11000021212000 is 21212000011.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000021212007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2737279 + ... + 5430721.

It is an arithmetic number, because the mean of its divisors is an integer number (281807638749).

Almost surely, 211000021212000 is an apocalyptic number.

11000021212000 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 11000021212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13526766659952).

11000021212000 is an abundant number, since it is smaller than the sum of its proper divisors (16053512107904).

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

11000021212000 is a wasteful number, since it uses less digits than its factorization.

11000021212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694489 (or 2694471 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11000021212000 its reverse (21212000011), we get a palindrome (11021233212011).

The spelling of 11000021212000 in words is "eleven trillion, twenty-one million, two hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 1021 2000 2042 4000 4084 5105 8168 10210 16336 20420 25525 32672 40840 51050 81680 102100 127625 163360 204200 255250 408400 510500 816800 1021000 2042000 2693443 4084000 5386886 10773772 13467215 21547544 26934430 43095088 53868860 67336075 86190176 107737720 134672150 215475440 269344300 336680375 430950880 538688600 673360750 1077377200 1346721500 2154754400 2693443000 2750005303 5386886000 5500010606 10773772000 11000021212 13750026515 22000042424 27500053030 44000084848 55000106060 68750132575 88000169696 110000212120 137500265150 220000424240 275000530300 343750662875 440000848480 550001060600 687501325750 1100002121200 1375002651500 2200004242400 2750005303000 5500010606000 11000021212000