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312221332201020 = 2235114201112607147
BaseRepresentation
bin100011011111101101011000…
…1100110001101111000111100
31111221111001211110121110122020
41012333122301212031320330
5311410413242020413040
63024012255551320140
7122523150446250354
oct10677326146157074
91457431743543566
10312221332201020
1190535361485920
122b026704520050
131052a4647bc208
1457158436c1b64
1526168d78c0cd0
hex11bf6b198de3c

312221332201020 has 96 divisors (see below), whose sum is σ = 953921275566336. Its totient is φ = 75672002112000.

The previous prime is 312221332200961. The next prime is 312221332201073. The reversal of 312221332201020 is 20102233122213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53530914 + ... + 59076233.

It is an arithmetic number, because the mean of its divisors is an integer number (9936679953816).

Almost surely, 2312221332201020 is an apocalyptic number.

312221332201020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312221332201020 is an abundant number, since it is smaller than the sum of its proper divisors (641699943365316).

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

312221332201020 is a wasteful number, since it uses less digits than its factorization.

312221332201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112611371 (or 112611369 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 312221332201020 its reverse (20102233122213), we get a palindrome (332323565323233).

The spelling of 312221332201020 in words is "three hundred twelve trillion, two hundred twenty-one billion, three hundred thirty-two million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 4201 8402 12603 16804 21005 25206 42010 46211 50412 63015 84020 92422 126030 138633 184844 231055 252060 277266 462110 554532 693165 924220 1386330 2772660 112607147 225214294 337821441 450428588 563035735 675642882 1126071470 1238678617 1351285764 1689107205 2252142940 2477357234 3378214410 3716035851 4954714468 6193393085 6756428820 7432071702 12386786170 14864143404 18580179255 24773572340 37160358510 74320717020 473062624547 946125249094 1419187873641 1892250498188 2365313122735 2838375747282 4730626245470 5203688870017 5676751494564 7095939368205 9461252490940 10407377740034 14191878736410 15611066610051 20814755480068 26018444350085 28383757472820 31222133220102 52036888700170 62444266440204 78055333050255 104073777400340 156110666100510 312221332201020