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320201001434412 = 2232721069169803407
BaseRepresentation
bin100100011001110001001101…
…0111100100111110100101100
31112222201220202100001220202200
41020303202122330213310230
5313432133122331400122
63053002150452421500
7124305521212512600
oct11063423274476454
91488656670056680
10320201001434412
11930315337611aa
122bab5123617890
1310988a95327a57
14590db4db77500
152704269a305ac
hex123389af27d2c

320201001434412 has 108 divisors (see below), whose sum is σ = 942424196706720. Its totient is φ = 91400418954432.

The previous prime is 320201001434393. The next prime is 320201001434417. The reversal of 320201001434412 is 214434100102023.

320201001434412 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 0 + 100 + 143 + 4 + 412 = 666.

It is a super-5 number, since 5×3202010014344125 (a number of 74 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (320201001434417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83015988 + ... + 86787419.

Almost surely, 2320201001434412 is an apocalyptic number.

It is an amenable number.

320201001434412 is an abundant number, since it is smaller than the sum of its proper divisors (622223195272308).

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

320201001434412 is a wasteful number, since it uses less digits than its factorization.

320201001434412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169804500 (or 169804488 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 320201001434412 its reverse (214434100102023), we get a palindrome (534635101536435).

The spelling of 320201001434412 in words is "three hundred twenty trillion, two hundred one billion, one million, four hundred thirty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1069 1764 2138 3207 4276 6414 7483 9621 12828 14966 19242 22449 29932 38484 44898 52381 67347 89796 104762 134694 157143 209524 269388 314286 471429 628572 942858 1885716 169803407 339606814 509410221 679213628 1018820442 1188623849 1528230663 2037640884 2377247698 3056461326 3565871547 4754495396 6112922652 7131743094 8320366943 10697614641 14263486188 16640733886 21395229282 24961100829 33281467772 42790458564 49922201658 74883302487 99844403316 149766604974 181519842083 299533209948 363039684166 544559526249 726079368332 1089119052498 1270638894581 1633678578747 2178238104996 2541277789162 3267357157494 3811916683743 5082555578324 6534714314988 7623833367486 8894472262067 11435750051229 15247666734972 17788944524134 22871500102458 26683416786201 35577889048268 45743000204916 53366833572402 80050250358603 106733667144804 160100500717206 320201001434412