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320113120200 = 233521009528763
BaseRepresentation
bin1001010100010000011…
…10101001001111001000
31010121021020022101201220
410222020032221033020
520221042424321300
6403020303042040
732061462424626
oct4521016511710
91117236271656
10320113120200
11113839569195
12520592a0320
1324256a91b73
14116ca472516
1584d8321da0
hex4a883a93c8

320113120200 has 96 divisors (see below), whose sum is σ = 993336050400. Its totient is φ = 85278735360.

The previous prime is 320113120169. The next prime is 320113120219. The reversal of 320113120200 is 2021311023.

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 320113120200.

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, 341019 + ... + 869781.

It is an arithmetic number, because the mean of its divisors is an integer number (10347250525).

Almost surely, 2320113120200 is an apocalyptic number.

320113120200 is a gapful number since it is divisible by the number (30) 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 320113120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496668025200).

320113120200 is an abundant number, since it is smaller than the sum of its proper divisors (673222930200).

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

320113120200 is a wasteful number, since it uses less digits than its factorization.

320113120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529791 (or 529782 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 320113120200 its reverse (2021311023), we get a palindrome (322134431223).

The spelling of 320113120200 in words is "three hundred twenty billion, one hundred thirteen million, one hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1009 2018 3027 4036 5045 6054 8072 10090 12108 15135 20180 24216 25225 30270 40360 50450 60540 75675 100900 121080 151350 201800 302700 528763 605400 1057526 1586289 2115052 2643815 3172578 4230104 5287630 6345156 7931445 10575260 12690312 13219075 15862890 21150520 26438150 31725780 39657225 52876300 63451560 79314450 105752600 158628900 317257800 533521867 1067043734 1600565601 2134087468 2667609335 3201131202 4268174936 5335218670 6402262404 8002828005 10670437340 12804524808 13338046675 16005656010 21340874680 26676093350 32011312020 40014140025 53352186700 64022624040 80028280050 106704373400 160056560100 320113120200