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11293124500 = 225371392167
BaseRepresentation
bin10101000010001111…
…10110011110010100
31002011001000011110101
422201013312132110
5141112014441000
65104334503444
7546565655140
oct124107663624
932131004411
1011293124500
114875746649
122232064b84
1310ac888ab8
14791bb4220
15461690e6a
hex2a11f6794

11293124500 has 144 divisors (see below), whose sum is σ = 28561897728. Its totient is φ = 3821054400.

The previous prime is 11293124483. The next prime is 11293124551. The reversal of 11293124500 is 542139211.

11293124500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 47 ways as a sum of consecutive naturals, for example, 67623417 + ... + 67623583.

It is an arithmetic number, because the mean of its divisors is an integer number (198346512).

Almost surely, 211293124500 is an apocalyptic number.

11293124500 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 11293124500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14280948864).

11293124500 is an abundant number, since it is smaller than the sum of its proper divisors (17268773228).

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

11293124500 is a wasteful number, since it uses less digits than its factorization.

11293124500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 11293124500 in words is "eleven billion, two hundred ninety-three million, one hundred twenty-four thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 139 140 167 175 250 278 334 350 500 556 668 695 700 835 875 973 1169 1390 1670 1750 1946 2338 2780 3340 3475 3500 3892 4175 4676 4865 5845 6950 8350 9730 11690 13900 16700 17375 19321 19460 20875 23213 23380 24325 29225 34750 38642 41750 46426 48650 58450 69500 77284 83500 92852 96605 97300 116065 116900 121625 135247 146125 162491 193210 232130 243250 270494 292250 324982 386420 464260 483025 486500 540988 580325 584500 649964 676235 812455 966050 1160650 1352470 1624910 1932100 2321300 2415125 2704940 2901625 3226607 3249820 3381175 4062275 4830250 5803250 6453214 6762350 8124550 9660500 11606500 12906428 13524700 16133035 16249100 16905875 20311375 22586249 32266070 33811750 40622750 45172498 64532140 67623500 80665175 81245500 90344996 112931245 161330350 225862490 322660700 403325875 451724980 564656225 806651750 1129312450 1613303500 2258624900 2823281125 5646562250 11293124500