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331320104234240 = 2851188919264637
BaseRepresentation
bin100101101010101010111100…
…1000111101010110100000000
31121110002220002201122201022112
41023111111321013222310000
5321411322033140443430
63132354204334354452
7126534042022053542
oct11325257107526400
91543086081581275
10331320104234240
1196629081385490
12311b008065ba28
13112b4475aacc94
145bb5d9b427692
1528485e2518195
hex12d55791ead00

331320104234240 has 144 divisors (see below), whose sum is σ = 865775030440320. Its totient is φ = 120478227701760.

The previous prime is 331320104234237. The next prime is 331320104234243. The reversal of 331320104234240 is 42432401023133.

It is an interprime number because it is at equal distance from previous prime (331320104234237) and next prime (331320104234243).

It is a super-2 number, since 2×3313201042342402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 331320104234197 and 331320104234206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331320104234243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1251847202 + ... + 1252111838.

It is an arithmetic number, because the mean of its divisors is an integer number (6012326600280).

Almost surely, 2331320104234240 is an apocalyptic number.

It is an amenable number.

331320104234240 is an abundant number, since it is smaller than the sum of its proper divisors (534454926206080).

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

331320104234240 is a wasteful number, since it uses less digits than its factorization.

331320104234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353588 (or 353574 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 331320104234240 its reverse (42432401023133), we get a palindrome (373752505257373).

The spelling of 331320104234240 in words is "three hundred thirty-one trillion, three hundred twenty billion, one hundred four million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 88919 177838 264637 355676 444595 529274 711352 889190 978109 1058548 1323185 1422704 1778380 1956218 2117096 2646370 2845408 2911007 3556760 3912436 4234192 4890545 5292740 5690816 5822014 7113520 7824872 8468384 9781090 10585480 11381632 11644028 14227040 14555035 15649744 16936768 19562180 21170960 22763264 23288056 28454080 29110070 31299488 33873536 39124360 42341920 46576112 56908160 58220140 62598976 67747072 78248720 84683840 93152224 113816320 116440280 125197952 156497440 169367680 186304448 232880560 250395904 312994880 338735360 372608896 465761120 625989760 745217792 931522240 1251979520 1863044480 3726088960 23531257403 47062514806 94125029612 117656287015 188250059224 235312574030 258843831433 376500118448 470625148060 517687662866 753000236896 941250296120 1035375325732 1294219157165 1506000473792 1882500592240 2070750651464 2588438314330 3012000947584 3765001184480 4141501302928 5176876628660 6024001895168 7530002368960 8283002605856 10353753257320 15060004737920 16566005211712 20707506514640 30120009475840 33132010423424 41415013029280 66264020846848 82830026058560 165660052117120 331320104234240