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301020130200 = 233521327378071
BaseRepresentation
bin1000110000101100011…
…00101010101110011000
31001202222121111000022010
410120112030222232120
514412442123131300
6350141534025520
730514362614016
oct4302614525630
91052877430263
10301020130200
1110673101a209
124a40b0482a0
132250329654a
14107d880d8b6
157c6c019a50
hex461632ab98

301020130200 has 96 divisors (see below), whose sum is σ = 933868085760. Its totient is φ = 80211331200.

The previous prime is 301020130183. The next prime is 301020130249. The reversal of 301020130200 is 2031020103.

It is a happy number.

It is a super-2 number, since 2×3010201302002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 607165 + ... + 985235.

It is an arithmetic number, because the mean of its divisors is an integer number (9727792560).

Almost surely, 2301020130200 is an apocalyptic number.

301020130200 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 301020130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466934042880).

301020130200 is an abundant number, since it is smaller than the sum of its proper divisors (632847955560).

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

301020130200 is a wasteful number, since it uses less digits than its factorization.

301020130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379417 (or 379408 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 301020130200 its reverse (2031020103), we get a palindrome (303051150303).

The spelling of 301020130200 in words is "three hundred one billion, twenty million, one hundred thirty 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 1327 2654 3981 5308 6635 7962 10616 13270 15924 19905 26540 31848 33175 39810 53080 66350 79620 99525 132700 159240 199050 265400 378071 398100 756142 796200 1134213 1512284 1890355 2268426 3024568 3780710 4536852 5671065 7561420 9073704 9451775 11342130 15122840 18903550 22684260 28355325 37807100 45368520 56710650 75614200 113421300 226842600 501700217 1003400434 1505100651 2006800868 2508501085 3010201302 4013601736 5017002170 6020402604 7525503255 10034004340 12040805208 12542505425 15051006510 20068008680 25085010850 30102013020 37627516275 50170021700 60204026040 75255032550 100340043400 150510065100 301020130200