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11190357000 = 2332531243373
BaseRepresentation
bin10100110101111111…
…10100110000001000
31001212212122000221200
422122333310300020
5140404212411000
65050224104200
7544210315344
oct123277646010
931785560850
1011190357000
114822734929
122203765060
1310944b6724
147822a2624
15457641500
hex29aff4c08

11190357000 has 96 divisors (see below), whose sum is σ = 37823437080. Its totient is φ = 2984092800.

The previous prime is 11190356993. The next prime is 11190357001. The reversal of 11190357000 is 75309111.

It is a happy number.

11190357000 is a `hidden beast` number, since 1 + 1 + 1 + 90 + 3 + 570 + 0 + 0 = 666.

11190357000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3580586244 + 7609770756 = 59838^2 + 87234^2 .

It is not an unprimeable number, because it can be changed into a prime (11190357001) 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 23 ways as a sum of consecutive naturals, for example, 612687 + ... + 630686.

Almost surely, 211190357000 is an apocalyptic number.

11190357000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11190357000 is an abundant number, since it is smaller than the sum of its proper divisors (26633080080).

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

11190357000 is a wasteful number, since it uses less digits than its factorization.

11190357000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243400 (or 1243383 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The spelling of 11190357000 in words is "eleven billion, one hundred ninety million, three hundred fifty-seven 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 1243373 2486746 3730119 4973492 6216865 7460238 9946984 11190357 12433730 14920476 18650595 22380714 24867460 29840952 31084325 37301190 44761428 49734920 55951785 62168650 74602380 89522856 93252975 111903570 124337300 149204760 155421625 186505950 223807140 248674600 279758925 310843250 373011900 447614280 466264875 559517850 621686500 746023800 932529750 1119035700 1243373000 1398794625 1865059500 2238071400 2797589250 3730119000 5595178500 11190357000