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1111424300 = 2252717591583
BaseRepresentation
bin100001000111110…
…1111110100101100
32212110100012111222
41002033233310230
54234011034200
6302141402512
736353644040
oct10217576454
92773305458
101111424300
11520408588
12270269438
1314935091c
14a7874020
1567890d85
hex423efd2c

1111424300 has 144 divisors (see below), whose sum is σ = 2969809920. Its totient is φ = 352343040.

The previous prime is 1111424297. The next prime is 1111424309. The reversal of 1111424300 is 34241111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1111424309) 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 47 ways as a sum of consecutive naturals, for example, 701309 + ... + 702891.

It is an arithmetic number, because the mean of its divisors is an integer number (20623680).

Almost surely, 21111424300 is an apocalyptic number.

1111424300 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 1111424300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484904960).

1111424300 is an abundant number, since it is smaller than the sum of its proper divisors (1858385620).

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

1111424300 is a wasteful number, since it uses less digits than its factorization.

1111424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1111424300 is about 33338.0308356687. The cubic root of 1111424300 is about 1035.8414745789.

Adding to 1111424300 its reverse (34241111), we get a palindrome (1145665411).

The spelling of 1111424300 in words is "one billion, one hundred eleven million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 59 68 70 85 100 118 119 140 170 175 236 238 295 340 350 413 425 476 590 595 700 826 850 1003 1180 1190 1475 1583 1652 1700 2006 2065 2380 2950 2975 3166 4012 4130 5015 5900 5950 6332 7021 7915 8260 10030 10325 11081 11900 14042 15830 20060 20650 22162 25075 26911 28084 31660 35105 39575 41300 44324 50150 53822 55405 70210 79150 93397 100300 107644 110810 134555 140420 158300 175525 186794 188377 221620 269110 277025 351050 373588 376754 466985 538220 554050 653779 672775 702100 753508 933970 941885 1108100 1307558 1345550 1587749 1867940 1883770 2334925 2615116 2691100 3175498 3268895 3767540 4669850 4709425 6350996 6537790 7938745 9339700 9418850 11114243 13075580 15877490 16344475 18837700 22228486 31754980 32688950 39693725 44456972 55571215 65377900 79387450 111142430 158774900 222284860 277856075 555712150 1111424300