Search a number
-
+
20132023332220 = 22519557747712721
BaseRepresentation
bin1001001001111010110100…
…00110010110110101111100
32122021121021022122200021221
410210331122012112311330
510114320340433112340
6110452305052203124
74145330206565662
oct444753206266574
978247238580257
1020132023332220
116461a4136a658
122311879a694a4
13b30598411967
144d8576336c32
1524da3066a44a
hex124f5a196d7c

20132023332220 has 96 divisors (see below), whose sum is σ = 44591731571520. Its totient is φ = 7613663662080.

The previous prime is 20132023332181. The next prime is 20132023332287. The reversal of 20132023332220 is 2223332023102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1582575460 + ... + 1582588180.

It is an arithmetic number, because the mean of its divisors is an integer number (464497203870).

Almost surely, 220132023332220 is an apocalyptic number.

20132023332220 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 20132023332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22295865785760).

20132023332220 is an abundant number, since it is smaller than the sum of its proper divisors (24459708239300).

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

20132023332220 is a wasteful number, since it uses less digits than its factorization.

20132023332220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20783 (or 20781 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 20132023332220 its reverse (2223332023102), we get a palindrome (22355355355322).

The spelling of 20132023332220 in words is "twenty trillion, one hundred thirty-two billion, twenty-three million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 557 1114 2228 2785 5570 7477 10583 11140 12721 14954 21166 25442 29908 37385 42332 50884 52915 63605 74770 105830 127210 142063 149540 211660 241699 254420 284126 483398 568252 710315 966796 1208495 1420630 2416990 2841260 4164689 4833980 7085597 8329378 14171194 16658756 20823445 28342388 35427985 41646890 70855970 79129091 83293780 95114917 134626343 141711940 158258182 190229834 269252686 316516364 380459668 395645455 475574585 538505372 673131715 791290910 951149170 1346263430 1582581820 1807183423 1902298340 2692526860 3614366846 7228733692 9035917115 18071834230 36143668460 52979008769 105958017538 211916035076 264895043845 529790087690 1006601166611 1059580175380 2013202333222 4026404666444 5033005833055 10066011666110 20132023332220