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302013141200 = 24525920036389
BaseRepresentation
bin1000110010100010110…
…00101101000011010000
31001212112211000012022022
410121101120231003100
514422010331004300
6350424245431012
730551111225561
oct4312130550320
91055484005268
10302013141200
111070a05aa061
124a64770b468
1322630c27514
141089065c168
157cc92ba285
hex465162d0d0

302013141200 has 120 divisors (see below), whose sum is σ = 738368589600. Its totient is φ = 118679841280.

The previous prime is 302013141149. The next prime is 302013141203. The reversal of 302013141200 is 2141310203.

It is a super-2 number, since 2×3020131412002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302013141203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47267606 + ... + 47273994.

It is an arithmetic number, because the mean of its divisors is an integer number (6153071580).

Almost surely, 2302013141200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302013141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369184294800).

302013141200 is an abundant number, since it is smaller than the sum of its proper divisors (436355448400).

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

302013141200 is a wasteful number, since it uses less digits than its factorization.

302013141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8469 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 302013141200 its reverse (2141310203), we get a palindrome (304154451403).

The spelling of 302013141200 in words is "three hundred two billion, thirteen million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 200 236 295 400 472 590 944 1180 1475 2003 2360 2950 4006 4720 5900 6389 8012 10015 11800 12778 16024 20030 23600 25556 31945 32048 40060 50075 51112 63890 80120 100150 102224 118177 127780 159725 160240 200300 236354 255560 319450 376951 400600 472708 511120 590885 638900 753902 801200 945416 1181770 1277800 1507804 1884755 1890832 2363540 2555600 2954425 3015608 3769510 4727080 5908850 6031216 7539020 9423775 9454160 11817700 12797167 15078040 18847550 23635400 25594334 30156080 37695100 47270800 51188668 63985835 75390200 102377336 127971670 150780400 204754672 255943340 319929175 511886680 639858350 755032853 1023773360 1279716700 1510065706 2559433400 3020131412 3775164265 5118866800 6040262824 7550328530 12080525648 15100657060 18875821325 30201314120 37751642650 60402628240 75503285300 151006570600 302013141200