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313011310130320 = 24567228745175653
BaseRepresentation
bin100011100101011101001111…
…1111100110111010010010000
31112001021120220101110021012011
41013022322133330313102100
5312011334130343132240
63025415224420112304
7122634215026665364
oct10712723774672220
91461246811407164
10313011310130320
119080a39542055a
122b133832535694
1310586abc321629
145741b849bb2a4
15262c220de56ea
hex11cae9ff37490

313011310130320 has 160 divisors (see below), whose sum is σ = 739230552073728. Its totient is φ = 123232774477824.

The previous prime is 313011310130263. The next prime is 313011310130327. The reversal of 313011310130320 is 23031013110313.

It is a junction number, because it is equal to n+sod(n) for n = 313011310130291 and 313011310130300.

It is not an unprimeable number, because it can be changed into a prime (313011310130327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55370828614 + ... + 55370834266.

Almost surely, 2313011310130320 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 313011310130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369615276036864).

313011310130320 is an abundant number, since it is smaller than the sum of its proper divisors (426219241943408).

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

313011310130320 is a wasteful number, since it uses less digits than its factorization.

313011310130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12537 (or 12531 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 313011310130320 its reverse (23031013110313), we get a palindrome (336042323240633).

The spelling of 313011310130320 in words is "three hundred thirteen trillion, eleven billion, three hundred ten million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2287 2680 4517 4574 5360 5653 9034 9148 11306 11435 18068 18296 22585 22612 22870 28265 36136 36592 45170 45224 45740 56530 72272 90340 90448 91480 113060 153229 180680 182960 226120 302639 306458 361360 378751 452240 605278 612916 757502 766145 1210556 1225832 1513195 1515004 1532290 1893755 2421112 2451664 3026390 3030008 3064580 3787510 4842224 6052780 6060016 6129160 7575020 10330379 12105560 12258320 12928411 15150040 20660758 24211120 25534601 25856822 30300080 41321516 51069202 51651895 51713644 64642055 82643032 102138404 103303790 103427288 127673005 129284110 165286064 204276808 206607580 206854576 255346010 258568220 408553616 413215160 510692020 517136440 692135393 826430320 866203537 1021384040 1034272880 1384270786 1710818267 1732407074 2042768080 2768541572 3421636534 3460676965 3464814148 4331017685 5537083144 6843273068 6921353930 6929628296 8554091335 8662035370 11074166288 13686546136 13842707860 13859256592 17108182670 17324070740 27373092272 27685415720 34216365340 34648141480 55370831440 58397632487 68432730680 69296282960 116795264974 136865461360 233590529948 291988162435 467181059896 583976324870 934362119792 1167952649740 2335905299480 3912641376629 4671810598960 7825282753258 15650565506516 19563206883145 31301131013032 39126413766290 62602262026064 78252827532580 156505655065160 313011310130320