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1113330120 = 233574792767
BaseRepresentation
bin100001001011100…
…0001000111001000
32212120221000210220
41002113001013020
54240003030440
6302250310040
736406102260
oct10227010710
92776830726
101113330120
1152149a441
12270a28320
1314986a226
14a7c0c7a0
1567b1a8d0
hex425c11c8

1113330120 has 128 divisors (see below), whose sum is σ = 3826483200. Its totient is φ = 253852416.

The previous prime is 1113330109. The next prime is 1113330121. The reversal of 1113330120 is 210333111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1113330120.

It is not an unprimeable number, because it can be changed into a prime (1113330121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400977 + ... + 403743.

It is an arithmetic number, because the mean of its divisors is an integer number (29894400).

Almost surely, 21113330120 is an apocalyptic number.

1113330120 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 1113330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913241600).

1113330120 is an abundant number, since it is smaller than the sum of its proper divisors (2713153080).

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

1113330120 is a wasteful number, since it uses less digits than its factorization.

1113330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1113330120 is about 33366.6018647389. The cubic root of 1113330120 is about 1036.4332078145.

Adding to 1113330120 its reverse (210333111), we get a palindrome (1323663231).

The spelling of 1113330120 in words is "one billion, one hundred thirteen million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 479 840 958 1437 1916 2395 2767 2874 3353 3832 4790 5534 5748 6706 7185 8301 9580 10059 11068 11496 13412 13835 14370 16602 16765 19160 19369 20118 22136 26824 27670 28740 33204 33530 38738 40236 41505 50295 55340 57480 58107 66408 67060 77476 80472 83010 96845 100590 110680 116214 134120 154952 166020 193690 201180 232428 290535 332040 387380 402360 464856 581070 774760 1162140 1325393 2324280 2650786 3976179 5301572 6626965 7952358 9277751 10603144 13253930 15904716 18555502 19880895 26507860 27833253 31809432 37111004 39761790 46388755 53015720 55666506 74222008 79523580 92777510 111333012 139166265 159047160 185555020 222666024 278332530 371110040 556665060 1113330120