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1130301100 = 22521729101227
BaseRepresentation
bin100001101011111…
…0000011010101100
32220202212020121201
41003113300122230
54303324113400
6304054135244
740003254325
oct10327603254
92822766551
101130301100
11530030a45
12276651524
1315022ca26
14aa18944c
156936e06a
hex435f06ac

1130301100 has 144 divisors (see below), whose sum is σ = 2725138080. Its totient is φ = 404992000.

The previous prime is 1130301097. The next prime is 1130301131. The reversal of 1130301100 is 11030311.

It is a super-2 number, since 2×11303011002 = 2555161153322420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4979187 + ... + 4979413.

It is an arithmetic number, because the mean of its divisors is an integer number (18924570).

Almost surely, 21130301100 is an apocalyptic number.

1130301100 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 1130301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362569040).

1130301100 is an abundant number, since it is smaller than the sum of its proper divisors (1594836980).

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

1130301100 is a wasteful number, since it uses less digits than its factorization.

1130301100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1130301100 is about 33619.9509220344. The cubic root of 1130301100 is about 1041.6729423266.

Adding to 1130301100 its reverse (11030311), we get a palindrome (1141331411).

The spelling of 1130301100 in words is "one billion, one hundred thirty million, three hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 101 116 145 170 202 227 290 340 404 425 454 493 505 580 725 850 908 986 1010 1135 1450 1700 1717 1972 2020 2270 2465 2525 2900 2929 3434 3859 4540 4930 5050 5675 5858 6583 6868 7718 8585 9860 10100 11350 11716 12325 13166 14645 15436 17170 19295 22700 22927 24650 26332 29290 32915 34340 38590 42925 45854 49300 49793 58580 65830 73225 77180 85850 91708 96475 99586 111911 114635 131660 146450 164575 171700 192950 199172 223822 229270 248965 292900 329150 385900 389759 447644 458540 497930 559555 573175 658300 664883 779518 995860 1119110 1146350 1244825 1329766 1559036 1948795 2238220 2292700 2489650 2659532 2797775 3324415 3897590 4979300 5595550 6648830 7795180 9743975 11191100 11303011 13297660 16622075 19487950 22606022 33244150 38975900 45212044 56515055 66488300 113030110 226060220 282575275 565150550 1130301100