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312103301013120 = 27351237131409703
BaseRepresentation
bin100011011110110110011011…
…0011000111101111010000000
31111221001210011200002212121110
41012331230312120331322000
5311402000030024404440
63023442135505323320
7122511501514563051
oct10675546630757200
91457053150085543
10312103301013120
119049a2a29a6441
122b007864036540
131051c2a447c626
14570dc47a36728
1526137ca6bc080
hex11bdb3663de80

312103301013120 has 128 divisors (see below), whose sum is σ = 995633506938240. Its totient is φ = 83160264536064.

The previous prime is 312103301013089. The next prime is 312103301013181. The reversal of 312103301013120 is 21310103301213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63329812 + ... + 68079891.

It is an arithmetic number, because the mean of its divisors is an integer number (7778386772955).

Almost surely, 2312103301013120 is an apocalyptic number.

312103301013120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312103301013120 is an abundant number, since it is smaller than the sum of its proper divisors (683530205925120).

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

312103301013120 is a wasteful number, since it uses less digits than its factorization.

312103301013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131410962 (or 131410950 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 312103301013120 its reverse (21310103301213), we get a palindrome (333413404314333).

The spelling of 312103301013120 in words is "three hundred twelve trillion, one hundred three billion, three hundred one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1237 1920 2474 3711 4948 6185 7422 9896 12370 14844 18555 19792 24740 29688 37110 39584 49480 59376 74220 79168 98960 118752 148440 158336 197920 237504 296880 395840 475008 593760 791680 1187520 2375040 131409703 262819406 394229109 525638812 657048515 788458218 1051277624 1314097030 1576916436 1971145545 2102555248 2628194060 3153832872 3942291090 4205110496 5256388120 6307665744 7884582180 8410220992 10512776240 12615331488 15769164360 16820441984 21025552480 25230662976 31538328720 42051104960 50461325952 63076657440 84102209920 126153314880 162553802611 252306629760 325107605222 487661407833 650215210444 812769013055 975322815666 1300430420888 1625538026110 1950645631332 2438307039165 2600860841776 3251076052220 3901291262664 4876614078330 5201721683552 6502152104440 7802582525328 9753228156660 10403443367104 13004304208880 15605165050656 19506456313320 20806886734208 26008608417760 31210330101312 39012912626640 52017216835520 62420660202624 78025825253280 104034433671040 156051650506560 312103301013120