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1130200100 = 2252101317353
BaseRepresentation
bin100001101011101…
…0111110000100100
32220202200010001222
41003113113300210
54303312400400
6304052035512
740002354011
oct10327276044
92822603058
101130200100
1152aa72077
12276602b98
131501c5a73
14aa160708
156934e185
hex435d7c24

1130200100 has 72 divisors (see below), whose sum is σ = 2491668648. Its totient is φ = 444928000.

The previous prime is 1130200091. The next prime is 1130200121. The reversal of 1130200100 is 10020311.

It can be written as a sum of positive squares in 12 ways, for example, as 320911396 + 809288704 = 17914^2 + 28448^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3201524 + ... + 3201876.

It is an arithmetic number, because the mean of its divisors is an integer number (34606509).

Almost surely, 21130200100 is an apocalyptic number.

1130200100 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 1130200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245834324).

1130200100 is an abundant number, since it is smaller than the sum of its proper divisors (1361468548).

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

1130200100 is a wasteful number, since it uses less digits than its factorization.

1130200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1130200100 is about 33618.4488041908. The cubic root of 1130200100 is about 1041.6419145763.

Adding to 1130200100 its reverse (10020311), we get a palindrome (1140220411).

The spelling of 1130200100 in words is "one billion, one hundred thirty million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 317 353 404 505 634 706 1010 1268 1412 1585 1765 2020 2525 3170 3530 5050 6340 7060 7925 8825 10100 15850 17650 31700 32017 35300 35653 64034 71306 111901 128068 142612 160085 178265 223802 320170 356530 447604 559505 640340 713060 800425 891325 1119010 1600850 1782650 2238020 2797525 3201700 3565300 5595050 11190100 11302001 22604002 45208004 56510005 113020010 226040020 282550025 565100050 1130200100