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1130133120 = 27352272593
BaseRepresentation
bin100001101011100…
…0111011010000000
32220202112201012020
41003113013122000
54303303224440
6304050401440
740001654514
oct10327073200
92822481166
101130133120
1152aa26816
12276590280
131501a142c
14aa144144
15693393d0
hex435c7680

1130133120 has 128 divisors (see below), whose sum is σ = 3619563840. Its totient is φ = 299925504.

The previous prime is 1130133101. The next prime is 1130133187. The reversal of 1130133120 is 213310311.

It is a tau number, because it is divible by the number of its divisors (128).

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 1130133120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434544 + ... + 437136.

Almost surely, 21130133120 is an apocalyptic number.

1130133120 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 1130133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809781920).

1130133120 is an abundant number, since it is smaller than the sum of its proper divisors (2489430720).

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

1130133120 is a wasteful number, since it uses less digits than its factorization.

1130133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2830 counting only the distinct ones).

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

The square root of 1130133120 is about 33617.4526102142. The cubic root of 1130133120 is about 1041.6213369359.

Adding to 1130133120 its reverse (213310311), we get a palindrome (1343443431).

The spelling of 1130133120 in words is "one billion, one hundred thirty million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 227 240 320 384 454 480 640 681 908 960 1135 1362 1816 1920 2270 2593 2724 3405 3632 4540 5186 5448 6810 7264 7779 9080 10372 10896 12965 13620 14528 15558 18160 20744 21792 25930 27240 29056 31116 36320 38895 41488 43584 51860 54480 62232 72640 77790 82976 87168 103720 108960 124464 145280 155580 165952 207440 217920 248928 311160 331904 414880 435840 497856 588611 622320 829760 995712 1177222 1244640 1659520 1765833 2354444 2489280 2943055 3531666 4708888 4978560 5886110 7063332 8829165 9417776 11772220 14126664 17658330 18835552 23544440 28253328 35316660 37671104 47088880 56506656 70633320 75342208 94177760 113013312 141266640 188355520 226026624 282533280 376711040 565066560 1130133120