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132313120120000 = 26543851858953
BaseRepresentation
bin11110000101011010001100…
…100001100001110011000000
3122100111000021211121022121101
4132011122030201201303000
5114320304232222320000
61145223450325504144
736604210314261001
oct3605321441416300
9570430254538541
10132313120120000
1139182751a03696
1212a0b204272054
1358aa0c5b86571
142495dbc4671a8
151046b7b9b2e6a
hex78568c861cc0

132313120120000 has 140 divisors (see below), whose sum is σ = 328179115173096. Its totient is φ = 52911443200000.

The previous prime is 132313120119953. The next prime is 132313120120007. The reversal of 132313120120000 is 21021313231.

It is a self number, because there is not a number n which added to its sum of digits gives 132313120120000.

It is not an unprimeable number, because it can be changed into a prime (132313120120007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 153610524 + ... + 154469476.

Almost surely, 2132313120120000 is an apocalyptic number.

132313120120000 is a gapful number since it is divisible by the number (10) 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 132313120120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164089557586548).

132313120120000 is an abundant number, since it is smaller than the sum of its proper divisors (195865995053096).

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

132313120120000 is an frugal number, since it uses more digits than its factorization.

132313120120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862836 (or 862811 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 132313120120000 its reverse (21021313231), we get a palindrome (132334141433231).

The spelling of 132313120120000 in words is "one hundred thirty-two trillion, three hundred thirteen billion, one hundred twenty million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3851 4000 5000 7702 8000 10000 15404 19255 20000 30808 38510 40000 61616 77020 96275 123232 154040 192550 246464 308080 385100 481375 616160 770200 858953 962750 1232320 1540400 1717906 1925500 2406875 3080800 3435812 3851000 4294765 4813750 6161600 6871624 7702000 8589530 9627500 13743248 15404000 17179060 19255000 21473825 27486496 30808000 34358120 38510000 42947650 54972992 68716240 77020000 85895300 107369125 137432480 154040000 171790600 214738250 274864960 343581200 429476500 536845625 687162400 858953000 1073691250 1374324800 1717906000 2147382500 3307828003 3435812000 4294765000 6615656006 6871624000 8589530000 13231312012 16539140015 17179060000 26462624024 33078280030 34358120000 52925248048 66156560060 82695700075 105850496096 132313120120 165391400150 211700992192 264626240240 330782800300 413478500375 529252480480 661565600600 826957000750 1058504960960 1323131201200 1653914001500 2067392501875 2646262402400 3307828003000 4134785003750 5292524804800 6615656006000 8269570007500 13231312012000 16539140015000 26462624024000 33078280030000 66156560060000 132313120120000