Search a number
-
+
20032111332320 = 2554310727211627
BaseRepresentation
bin1001000111000000101101…
…11000010100101111100000
32121221001101021121012111012
410203200112320110233200
510111201231000113240
6110334342551240052
74135162251603353
oct443402670245740
977831337535435
1020032111332320
11642363067a30a
1222b6435679028
13b24034c03aa9
144d37b8c6229a
1524b134014b65
hex123816e14be0

20032111332320 has 96 divisors (see below), whose sum is σ = 48879050064768. Its totient is φ = 7753354172928.

The previous prime is 20032111332307. The next prime is 20032111332407. The reversal of 20032111332320 is 2323311123002.

20032111332320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 12869654 + ... + 14341973.

It is an arithmetic number, because the mean of its divisors is an integer number (509156771508).

Almost surely, 220032111332320 is an apocalyptic number.

20032111332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20032111332320 is an abundant number, since it is smaller than the sum of its proper divisors (28846938732448).

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

20032111332320 is a wasteful number, since it uses less digits than its factorization.

20032111332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27211792 (or 27211784 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 20032111332320 its reverse (2323311123002), we get a palindrome (22355422455322).

The spelling of 20032111332320 in words is "twenty trillion, thirty-two billion, one hundred eleven million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 107 160 172 214 215 344 428 430 535 688 856 860 1070 1376 1712 1720 2140 3424 3440 4280 4601 6880 8560 9202 17120 18404 23005 36808 46010 73616 92020 147232 184040 368080 736160 27211627 54423254 108846508 136058135 217693016 272116270 435386032 544232540 870772064 1088465080 1170099961 2176930160 2340199922 2911644089 4353860320 4680399844 5823288178 5850499805 9360799688 11646576356 11700999610 14558220445 18721599376 23293152712 23401999220 29116440890 37443198752 46586305424 46803998440 58232881780 93172610848 93607996880 116465763560 125200695827 187215993760 232931527120 250401391654 465863054240 500802783308 626003479135 1001605566616 1252006958270 2003211133232 2504013916540 4006422266464 5008027833080 10016055666160 20032111332320