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11123113000 = 2353191513877
BaseRepresentation
bin10100101101111110…
…10011110000101000
31001201012002200112011
422112333103300220
5140240004104000
65035422525304
7542432620606
oct122677236050
931635080464
1011123113000
11479878647a
1221a5136834
1310835a148c
1477739a876
154517ac2ba
hex296fd3c28

11123113000 has 128 divisors (see below), whose sum is σ = 27586540800. Its totient is φ = 4186080000.

The previous prime is 11123112997. The next prime is 11123113033. The reversal of 11123113000 is 31132111.

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, 2867062 + ... + 2870938.

It is an arithmetic number, because the mean of its divisors is an integer number (215519850).

Almost surely, 211123113000 is an apocalyptic number.

11123113000 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 11123113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13793270400).

11123113000 is an abundant number, since it is smaller than the sum of its proper divisors (16463427800).

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

11123113000 is a wasteful number, since it uses less digits than its factorization.

11123113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11123113000 its reverse (31132111), we get a palindrome (11154245111).

The spelling of 11123113000 in words is "eleven billion, one hundred twenty-three million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 151 152 190 200 250 302 380 475 500 604 755 760 950 1000 1208 1510 1900 2375 2869 3020 3775 3800 3877 4750 5738 6040 7550 7754 9500 11476 14345 15100 15508 18875 19000 19385 22952 28690 30200 31016 37750 38770 57380 71725 73663 75500 77540 96925 114760 143450 147326 151000 155080 193850 286900 294652 358625 368315 387700 484625 573800 585427 589304 717250 736630 775400 969250 1170854 1434500 1473260 1841575 1938500 2341708 2869000 2927135 2946520 3683150 3877000 4683416 5854270 7366300 9207875 11123113 11708540 14635675 14732600 18415750 22246226 23417080 29271350 36831500 44492452 55615565 58542700 73178375 73663000 88984904 111231130 117085400 146356750 222462260 278077825 292713500 444924520 556155650 585427000 1112311300 1390389125 2224622600 2780778250 5561556500 11123113000