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310214041241300 = 225271785730418211
BaseRepresentation
bin100011010001000110101010…
…1101110111000011011010100
31111200101011122220112111011222
41012202031111232320123110
5311130021324024210200
63015434210235545512
7122225140062515060
oct10642152556703324
91450334586474158
10310214041241300
118a931044021099
122a9616868bb298
131041309b89abc1
1456866227b6aa0
1525ce5a47a3d85
hex11a2355bb86d4

310214041241300 has 144 divisors (see below), whose sum is σ = 815536111598208. Its totient is φ = 99985872998400.

The previous prime is 310214041241263. The next prime is 310214041241311. The reversal of 310214041241300 is 3142140412013.

It is a self number, because there is not a number n which added to its sum of digits gives 310214041241300.

It is a congruent number.

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, 5010806 + ... + 25407405.

It is an arithmetic number, because the mean of its divisors is an integer number (5663445219432).

Almost surely, 2310214041241300 is an apocalyptic number.

It is an amenable number.

310214041241300 is an abundant number, since it is smaller than the sum of its proper divisors (505322070356908).

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

310214041241300 is a wasteful number, since it uses less digits than its factorization.

310214041241300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30419106 (or 30419099 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 310214041241300 its reverse (3142140412013), we get a palindrome (313356181653313).

The spelling of 310214041241300 in words is "three hundred ten trillion, two hundred fourteen billion, forty-one million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 857 1190 1700 1714 2380 2975 3428 4285 5950 5999 8570 11900 11998 14569 17140 21425 23996 29138 29995 42850 58276 59990 72845 85700 101983 119980 145690 149975 203966 291380 299950 364225 407932 509915 599900 728450 1019830 1456900 2039660 2549575 5099150 10198300 30418211 60836422 121672844 152091055 212927477 304182110 425854954 517109587 608364220 760455275 851709908 1034219174 1064637385 1520910550 2068438348 2129274770 2585547935 3041821100 3619767109 4258549540 5171095870 5323186925 7239534218 10342191740 10646373850 12927739675 14479068436 18098835545 21292747700 25855479350 26068406827 36197671090 51710958700 52136813654 72395342180 90494177725 104273627308 130342034135 180988355450 182478847789 260684068270 361976710900 364957695578 443162916059 521368136540 651710170675 729915391156 886325832118 912394238945 1303420341350 1772651664236 1824788477890 2215814580295 2606840682700 3102140412413 3649576955780 4431629160590 4561971194725 6204280824826 8863258321180 9123942389450 11079072901475 12408561649652 15510702062065 18247884778900 22158145802950 31021404124130 44316291605900 62042808248260 77553510310325 155107020620650 310214041241300