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321312034003220 = 225131928341244719
BaseRepresentation
bin100100100001110110100100…
…1101001100001100100010100
31120010200010112002212020201222
41021003231021221201210110
5314103334021201100340
63055212413300305512
7124452012510521021
oct11103551151414424
91503603462766658
10321312034003220
119341a739675457
12300545120a2298
1310a397969c1940
14594b82a58c548
1527230e3d558b5
hex1243b49a61914

321312034003220 has 144 divisors (see below), whose sum is σ = 776157659101440. Its totient is φ = 111040019672832.

The previous prime is 321312034003199. The next prime is 321312034003249. The reversal of 321312034003220 is 22300430213123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 321312034003220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12831980 + ... + 28412739.

It is an arithmetic number, because the mean of its divisors is an integer number (5389983743760).

Almost surely, 2321312034003220 is an apocalyptic number.

It is an amenable number.

321312034003220 is an abundant number, since it is smaller than the sum of its proper divisors (454845625098220).

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

321312034003220 is a wasteful number, since it uses less digits than its factorization.

321312034003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41244862 (or 41244841 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 321312034003220 its reverse (22300430213123), we get a palindrome (343612464216343).

The spelling of 321312034003220 in words is "three hundred twenty-one trillion, three hundred twelve billion, thirty-four million, three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 83 95 130 166 190 247 260 332 361 380 415 494 722 830 988 1079 1235 1444 1577 1660 1805 2158 2470 3154 3610 4316 4693 4940 5395 6308 7220 7885 9386 10790 15770 18772 20501 21580 23465 29963 31540 41002 46930 59926 82004 93860 102505 119852 149815 205010 299630 389519 410020 599260 779038 1558076 1947595 3895190 7790380 41244719 82489438 164978876 206223595 412447190 536181347 783649661 824894380 1072362694 1567299322 2144725388 2680906735 3134598644 3423311677 3918248305 5361813470 6846623354 7836496610 10187445593 10723626940 13693246708 14889343559 15672993220 17116558385 20374891186 29778687118 34233116770 40749782372 44503051801 50937227965 59557374236 65042921863 68466233540 74446717795 89006103602 101874455930 130085843726 148893435590 178012207204 193561466267 203748911860 222515259005 260171687452 297786871180 325214609315 387122932534 445030518010 650429218630 774245865068 845557984219 890061036020 967807331335 1235815515397 1300858437260 1691115968438 1935614662670 2471631030794 3382231936876 3871229325340 4227789921095 4943262061588 6179077576985 8455579842190 12358155153970 16065601700161 16911159684380 24716310307940 32131203400322 64262406800644 80328008500805 160656017001610 321312034003220