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11212000011000 = 2332531245777779
BaseRepresentation
bin1010001100100111111101…
…0001110010001011111000
31110200212010120002002020200
42203021333101302023320
52432144134000323000
635502415515322200
72235016545431205
oct243117721621370
943625116062220
1011212000011000
113632a89789a78
121310b64150360
136343968aca49
142aa941278cac
151469b33a2500
hexa327f4722f8

11212000011000 has 96 divisors (see below), whose sum is σ = 37896560067600. Its totient is φ = 2989866667200.

The previous prime is 11212000010989. The next prime is 11212000011001. The reversal of 11212000011000 is 11000021211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212000011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622879890 + ... + 622897889.

Almost surely, 211212000011000 is an apocalyptic number.

11212000011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212000011000 is an abundant number, since it is smaller than the sum of its proper divisors (26684560056600).

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

11212000011000 is a wasteful number, since it uses less digits than its factorization.

11212000011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245777806 (or 1245777789 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11212000011000 its reverse (11000021211), we get a palindrome (11223000032211).

The spelling of 11212000011000 in words is "eleven trillion, two hundred twelve billion, eleven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 1245777779 2491555558 3737333337 4983111116 6228888895 7474666674 9966222232 11212000011 12457777790 14949333348 18686666685 22424000022 24915555580 29898666696 31144444475 37373333370 44848000044 49831111160 56060000055 62288888950 74746666740 89696000088 93433333425 112120000110 124577777900 149493333480 155722222375 186866666850 224240000220 249155555800 280300000275 311444444750 373733333700 448480000440 467166667125 560600000550 622888889500 747466667400 934333334250 1121200001100 1245777779000 1401500001375 1868666668500 2242400002200 2803000002750 3737333337000 5606000005500 11212000011000