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11000212000000 = 28562750053
BaseRepresentation
bin1010000000010010111110…
…1110101000110100000000
31102221121110200120101122021
42200010233232220310000
52420211413233000000
635221232211251224
72213511336150166
oct240045756506400
942847420511567
1011000212000000
113561188998723
121297ab88a9b14
1361a414320342
142a05ad79d236
1514121a0d411a
hexa012fba8d00

11000212000000 has 126 divisors (see below), whose sum is σ = 27446476688414. Its totient is φ = 4400083200000.

The previous prime is 11000211999991. The next prime is 11000212000021. The reversal of 11000212000000 is 21200011.

It can be written as a sum of positive squares in 7 ways, for example, as 9778179032064 + 1222032967936 = 3127008^2 + 1105456^2 .

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 2624974 + ... + 5375026.

Almost surely, 211000212000000 is an apocalyptic number.

11000212000000 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 11000212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13723238344207).

11000212000000 is an abundant number, since it is smaller than the sum of its proper divisors (16446264688414).

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

11000212000000 is an frugal number, since it uses more digits than its factorization.

11000212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750099 (or 2750060 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11000212000000 its reverse (21200011), we get a palindrome (11000233200011).

The spelling of 11000212000000 in words is "eleven trillion, two hundred twelve million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3125 3200 4000 5000 6250 6400 8000 10000 12500 15625 16000 20000 25000 31250 32000 40000 50000 62500 80000 100000 125000 160000 200000 250000 400000 500000 800000 1000000 2000000 2750053 4000000 5500106 11000212 13750265 22000424 27500530 44000848 55001060 68751325 88001696 110002120 137502650 176003392 220004240 275005300 343756625 352006784 440008480 550010600 687513250 704013568 880016960 1100021200 1375026500 1718783125 1760033920 2200042400 2750053000 3437566250 3520067840 4400084800 5500106000 6875132500 8593915625 8800169600 11000212000 13750265000 17187831250 17600339200 22000424000 27500530000 34375662500 42969578125 44000848000 55001060000 68751325000 85939156250 88001696000 110002120000 137502650000 171878312500 220004240000 275005300000 343756625000 440008480000 550010600000 687513250000 1100021200000 1375026500000 2200042400000 2750053000000 5500106000000 11000212000000