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20201330002320 = 2432565657427333
BaseRepresentation
bin1001001011111011111010…
…00110010100100110010000
32122112020011102101022100100
410211331331012110212100
510121434310440033240
6110544210214452400
74153332534554445
oct445757506244620
978466142338310
1020201330002320
116489377158705
1223231a0664100
13b36c92013c1c
144dba6cc2d9cc
15250739e74e30
hex125f7d194990

20201330002320 has 120 divisors (see below), whose sum is σ = 67843991976696. Its totient is φ = 5386926680064.

The previous prime is 20201330002307. The next prime is 20201330002331. The reversal of 20201330002320 is 2320003310202.

It is a happy number.

20201330002320 is a `hidden beast` number, since 20 + 20 + 1 + 3 + 300 + 0 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9516904162704 + 10684425839616 = 3084948^2 + 3268704^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 20201330002293 and 20201330002302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47059374 + ... + 47486706.

Almost surely, 220201330002320 is an apocalyptic number.

20201330002320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201330002320 is an abundant number, since it is smaller than the sum of its proper divisors (47642661974376).

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

20201330002320 is a wasteful number, since it uses less digits than its factorization.

20201330002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493009 (or 493000 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20201330002320 its reverse (2320003310202), we get a palindrome (22521333312522).

The spelling of 20201330002320 in words is "twenty trillion, two hundred one billion, three hundred thirty million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 65657 131314 196971 262628 328285 393942 427333 525256 590913 656570 787884 854666 984855 1050512 1181826 1281999 1313140 1575768 1709332 1969710 2136665 2363652 2563998 2626280 2954565 3151536 3418664 3845997 3939420 4273330 4727304 5127996 5252560 5909130 6409995 6837328 7691994 7878840 8546660 9454608 10255992 11818260 12819990 15383988 15757680 17093320 19229985 20511984 23636520 25639980 30767976 34186640 38459970 47273040 51279960 61535952 76919940 102559920 153839880 307679760 28057402781 56114805562 84172208343 112229611124 140287013905 168344416686 224459222248 252516625029 280574027810 336688833372 420861041715 448918444496 505033250058 561148055620 673377666744 841722083430 1010066500116 1122296111240 1262583125145 1346755333488 1683444166860 2020133000232 2244592222480 2525166250290 3366888333720 4040266000464 5050332500580 6733776667440 10100665001160 20201330002320