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20112323313330 = 23252321693249521
BaseRepresentation
bin1001001001010110000111…
…11000101111111010110010
32122012201102101121000202200
410210223003320233322302
510114010014232011310
6110435250200324030
74144032056312403
oct444530370577262
978181371530680
1020112323313330
116454652201906
122309aa0473616
13b2b778c29351
144d7627c1b9aa
1524d27ae079c0
hex124ac3e2feb2

20112323313330 has 144 divisors (see below), whose sum is σ = 54696966059736. Its totient is φ = 5127049128960.

The previous prime is 20112323313323. The next prime is 20112323313343. The reversal of 20112323313330 is 3331332321102.

20112323313330 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 2 + 323 + 3 + 1 + 3 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15312030737481 + 4800292575849 = 3913059^2 + 2190957^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20112323313294 and 20112323313303.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80478970 + ... + 80728490.

Almost surely, 220112323313330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112323313330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27348483029868).

20112323313330 is an abundant number, since it is smaller than the sum of its proper divisors (34584642746406).

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

20112323313330 is a wasteful number, since it uses less digits than its factorization.

20112323313330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251273 (or 251247 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 20112323313330 its reverse (3331332321102), we get a palindrome (23443655634432).

The spelling of 20112323313330 in words is "twenty trillion, one hundred twelve billion, three hundred twenty-three million, three hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 529 690 1035 1058 1587 1693 2070 2645 3174 3386 4761 5079 5290 7935 8465 9522 10158 15237 15870 16930 23805 25395 30474 38939 47610 50790 76185 77878 116817 152370 194695 233634 249521 350451 389390 499042 584085 700902 748563 895597 1168170 1247605 1497126 1752255 1791194 2245689 2495210 2686791 3504510 3742815 4477985 4491378 5373582 5738983 7485630 8060373 8955970 11228445 11477966 13433955 16120746 17216949 22456890 26867910 28694915 34433898 40301865 51650847 57389830 80603730 86084745 103301694 131996609 172169490 258254235 263993218 395989827 422439053 516508470 659983045 791979654 844878106 1187969481 1267317159 1319966090 1979949135 2112195265 2375938962 2534634318 3801951477 3959898270 4224390530 5939847405 6336585795 7603902954 9716098219 11879694810 12673171590 19009757385 19432196438 29148294657 38019514770 48580491095 58296589314 87444883971 97160982190 145741473285 174889767942 223470259037 291482946570 437224419855 446940518074 670410777111 874448839710 1117351295185 1340821554222 2011232331333 2234702590370 3352053885555 4022464662666 6704107771110 10056161656665 20112323313330