Search a number
-
+
20333020021120 = 275198831189347
BaseRepresentation
bin1001001111110001001100…
…11011111000000110000000
32122222211002010101101221001
410213320212123320012000
510131114011111133440
6111124505504541344
74166004122343352
oct447704633700600
978884063341831
1020333020021120
11652a2047a2994
122344813321854
13b4651b07bb81
145041a29430d2
15253d96369b9a
hex127e266f8180

20333020021120 has 128 divisors (see below), whose sum is σ = 51173039001600. Its totient is φ = 7704231229440.

The previous prime is 20333020021049. The next prime is 20333020021133. The reversal of 20333020021120 is 2112002033302.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107290287 + ... + 107479633.

It is an arithmetic number, because the mean of its divisors is an integer number (399789367200).

Almost surely, 220333020021120 is an apocalyptic number.

20333020021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20333020021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25586519500800).

20333020021120 is an abundant number, since it is smaller than the sum of its proper divisors (30840018980480).

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

20333020021120 is a wasteful number, since it uses less digits than its factorization.

20333020021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198216 (or 198204 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 20333020021120 its reverse (2112002033302), we get a palindrome (22445022054422).

The spelling of 20333020021120 in words is "twenty trillion, three hundred thirty-three billion, twenty million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 8831 12160 17662 35324 44155 70648 88310 141296 167789 176620 189347 282592 335578 353240 378694 565184 671156 706480 757388 838945 946735 1130368 1342312 1412960 1514776 1677890 1893470 2684624 2825920 3029552 3355780 3597593 3786940 5369248 5651840 6059104 6711560 7195186 7573880 10738496 12118208 13423120 14390372 15147760 17987965 21476992 24236416 26846240 28780744 30295520 35975930 53692480 57561488 60591040 71951860 107384960 115122976 121182080 143903720 230245952 287807440 460491904 575614880 1151229760 1672123357 2302459520 3344246714 6688493428 8360616785 13376986856 16721233570 26753973712 31770343783 33442467140 53507947424 63540687566 66884934280 107015894848 127081375132 133769868560 158851718915 214031789696 254162750264 267539737120 317703437830 508325500528 535079474240 635406875660 1016651001056 1070158948480 1270813751320 2033302002112 2541627502640 4066604004224 5083255005280 10166510010560 20333020021120