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11011323000 = 2335310136341
BaseRepresentation
bin10100100000101001…
…10111010001111000
31001102101202011110210
422100110313101320
5140022344314000
65020350511120
7536604462336
oct122024672170
931371664423
1011011323000
114740671a47
1221738054a0
131066390452
147665bab56
15446a79350
hex290537478

11011323000 has 128 divisors (see below), whose sum is σ = 34696434240. Its totient is φ = 2907200000.

The previous prime is 11011322981. The next prime is 11011323049. The reversal of 11011323000 is 32311011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284830 + ... + 321170.

Almost surely, 211011323000 is an apocalyptic number.

11011323000 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 11011323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17348217120).

11011323000 is an abundant number, since it is smaller than the sum of its proper divisors (23685111240).

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

11011323000 is a wasteful number, since it uses less digits than its factorization.

11011323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36466 (or 36452 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11011323000 its reverse (32311011), we get a palindrome (11043634011).

The spelling of 11011323000 in words is "eleven billion, eleven million, three hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 101 120 125 150 200 202 250 300 303 375 404 500 505 600 606 750 808 1000 1010 1212 1500 1515 2020 2424 2525 3000 3030 4040 5050 6060 7575 10100 12120 12625 15150 20200 25250 30300 36341 37875 50500 60600 72682 75750 101000 109023 145364 151500 181705 218046 290728 303000 363410 436092 545115 726820 872184 908525 1090230 1453640 1817050 2180460 2725575 3634100 3670441 4360920 4542625 5451150 7268200 7340882 9085250 10902300 11011323 13627875 14681764 18170500 18352205 21804600 22022646 27255750 29363528 36341000 36704410 44045292 54511500 55056615 73408820 88090584 91761025 109023000 110113230 146817640 183522050 220226460 275283075 367044100 440452920 458805125 550566150 734088200 917610250 1101132300 1376415375 1835220500 2202264600 2752830750 3670441000 5505661500 11011323000