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312221340130312 = 2317531072771461451
BaseRepresentation
bin100011011111101101011001…
…0000100011101110000001000
31111221111001212000112022120201
41012333122302010131300020
5311410413301033132222
63024012300433301544
7122523150603534004
oct10677326204356010
91457431760468521
10312221340130312
1190535365a01258
122b0267071048b4
131052a4663373c2
145715844787704
1526168d843a427
hex11bf6b211dc08

312221340130312 has 128 divisors (see below), whose sum is σ = 639750496083840. Its totient is φ = 142292571033600.

The previous prime is 312221340130309. The next prime is 312221340130333. The reversal of 312221340130312 is 213031043122213.

It is a super-3 number, since 3×3122213401303123 (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212907187 + ... + 214368637.

It is an arithmetic number, because the mean of its divisors is an integer number (4998050750655).

Almost surely, 2312221340130312 is an apocalyptic number.

It is an amenable number.

312221340130312 is an abundant number, since it is smaller than the sum of its proper divisors (327529155953528).

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

312221340130312 is a wasteful number, since it uses less digits than its factorization.

312221340130312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461911 (or 1461907 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 312221340130312 its reverse (213031043122213), we get a palindrome (525252383252525).

The spelling of 312221340130312 in words is "three hundred twelve trillion, two hundred twenty-one billion, three hundred forty million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 17 34 53 68 106 107 136 212 214 277 424 428 554 856 901 1108 1802 1819 2216 3604 3638 4709 5671 7208 7276 9418 11342 14552 14681 18836 22684 29362 29639 37672 45368 58724 59278 96407 117448 118556 192814 237112 249577 385628 499154 503863 771256 998308 1007726 1461451 1570867 1996616 2015452 2922902 3141734 4030904 5845804 6283468 11691608 12566936 24844667 26704739 49689334 53409478 77456903 99378668 106818956 154913806 156375257 198757336 213637912 309827612 312750514 404821927 619655224 625501028 809643854 1251002056 1316767351 1619287708 2633534702 2658379369 3238575416 5267069404 5316758738 6881972759 8287888621 10534138808 10633517476 13763945518 16575777242 21267034952 21455562131 27527891036 33151554484 42911124262 43315946189 55055782072 66303108968 85822248524 86631892378 140894106557 171644497048 173263784756 281788213114 346527569512 364744556227 563576426228 729489112454 736371085213 1127152852456 1458978224908 1472742170426 2295745148017 2917956449816 2945484340852 4591490296034 5890968681704 9182980592068 18365961184136 39027667516289 78055335032578 156110670065156 312221340130312