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10321303001220 = 223251728311918639
BaseRepresentation
bin1001011000110001110110…
…0110010101100010000100
31100112201002100111212110200
42112030131212111202010
52323101012032014340
633541312515250500
72113455336654141
oct226143546254204
940481070455420
1010321303001220
11331a270517452
1211a84075a9a30
1359b3aa5aaaa3
142797a76193c8
1512d732952330
hex9631d995884

10321303001220 has 144 divisors (see below), whose sum is σ = 33266735873280. Its totient is φ = 2581290943488.

The previous prime is 10321303001213. The next prime is 10321303001257. The reversal of 10321303001220 is 2210030312301.

10321303001220 is a `hidden beast` number, since 1 + 0 + 321 + 30 + 300 + 12 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10321303001193 and 10321303001202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5093340 + ... + 6825299.

It is an arithmetic number, because the mean of its divisors is an integer number (231018999120).

Almost surely, 210321303001220 is an apocalyptic number.

10321303001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10321303001220 is an abundant number, since it is smaller than the sum of its proper divisors (22945432872060).

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

10321303001220 is a wasteful number, since it uses less digits than its factorization.

10321303001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11918954 (or 11918949 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10321303001220 its reverse (2210030312301), we get a palindrome (12531333313521).

The spelling of 10321303001220 in words is "ten trillion, three hundred twenty-one billion, three hundred three million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 283 306 340 510 566 612 765 849 1020 1132 1415 1530 1698 2547 2830 3060 3396 4245 4811 5094 5660 8490 9622 10188 12735 14433 16980 19244 24055 25470 28866 43299 48110 50940 57732 72165 86598 96220 144330 173196 216495 288660 432990 865980 11918639 23837278 35755917 47674556 59593195 71511834 107267751 119186390 143023668 178779585 202616863 214535502 238372780 357559170 405233726 429071004 536338755 607850589 715118340 810467452 1013084315 1072677510 1215701178 1823551767 2026168630 2145355020 2431402356 3039252945 3372974837 3647103534 4052337260 6078505890 6745949674 7294207068 9117758835 10118924511 12157011780 13491899348 16864874185 18235517670 20237849022 30356773533 33729748370 36471035340 40475698044 50594622555 57340572229 60713547066 67459496740 101189245110 114681144458 121427094132 151783867665 172021716687 202378490220 229362288916 286702861145 303567735330 344043433374 516065150061 573405722290 607135470660 688086866748 860108583435 1032130300122 1146811444580 1720217166870 2064260600244 2580325750305 3440434333740 5160651500610 10321303001220