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313213230301312 = 27113743911369217
BaseRepresentation
bin100011100110111011010001…
…1010101001100000010000000
31112001222220002112212202002201
41013031312203111030002000
5312023141143424120222
63030052101022122544
7122654623555062505
oct10715664325140200
91461886075782081
10313213230301312
1190887a92064630
122b1669a5120454
131059cb5b3b7553
14574b85bad74ac
1526325dcc0e427
hex11cdda354c080

313213230301312 has 128 divisors (see below), whose sum is σ = 699262042423680. Its totient is φ = 138490173849600.

The previous prime is 313213230301267. The next prime is 313213230301327. The reversal of 313213230301312 is 213103032312313.

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, 228068928 + ... + 229438144.

It is an arithmetic number, because the mean of its divisors is an integer number (5462984706435).

Almost surely, 2313213230301312 is an apocalyptic number.

313213230301312 is a gapful number since it is divisible by the number (32) 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 313213230301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349631021211840).

313213230301312 is an abundant number, since it is smaller than the sum of its proper divisors (386048812122368).

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

313213230301312 is a wasteful number, since it uses less digits than its factorization.

313213230301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373670 (or 1373658 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 313213230301312 its reverse (213103032312313), we get a palindrome (526316262613625).

The spelling of 313213230301312 in words is "three hundred thirteen trillion, two hundred thirteen billion, two hundred thirty million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 296 352 407 592 704 814 1184 1408 1628 2368 3256 4391 4736 6512 8782 13024 17564 26048 35128 48301 52096 70256 96602 140512 162467 193204 281024 324934 386408 562048 649868 772816 1299736 1369217 1545632 1787137 2599472 2738434 3091264 3574274 5198944 5476868 6182528 7148548 10397888 10953736 14297096 15061387 20795776 21907472 28594192 30122774 43814944 50661029 57188384 60245548 87629888 101322058 114376768 120491096 175259776 202644116 228753536 240982192 405288232 481964384 557271319 810576464 963928768 1114542638 1621152928 1927857536 2229085276 3242305856 4458170552 6012231847 6484611712 8916341104 12024463694 17832682208 24048927388 35665364416 48097854776 66134550317 71330728832 96195709552 132269100634 192391419104 222452578339 264538201268 384782838208 444905156678 529076402536 769565676416 889810313356 1058152805072 1779620626712 2116305610144 2446978361729 3559241253424 4232611220288 4893956723458 7118482506848 8465222440576 9787913446916 14236965013696 19575826893832 28473930027392 39151653787664 78303307575328 156606615150656 313213230301312