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132032011002000 = 2435369131845637
BaseRepresentation
bin11110000001010100011001…
…000111010110000010010000
3122022111010200212012112020120
4132001110121013112002100
5114301203024304031000
61144450400221510240
736544666213222134
oct3601243107260220
9568433625175216
10132032011002000
113908450916366a
1212984831412380
135889746a0b655
1424865521b73c4
15103e6c79d76a0
hex7815191d6090

132032011002000 has 160 divisors (see below), whose sum is σ = 426287238858624. Its totient is φ = 35157582144000.

The previous prime is 132032011001953. The next prime is 132032011002011. The reversal of 132032011002000 is 200110230231.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 11776819 + ... + 20068818.

Almost surely, 2132032011002000 is an apocalyptic number.

132032011002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132032011002000 is an abundant number, since it is smaller than the sum of its proper divisors (294255227856624).

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

132032011002000 is a wasteful number, since it uses less digits than its factorization.

132032011002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31846354 (or 31846338 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132032011002000 its reverse (200110230231), we get a palindrome (132232121232231).

The spelling of 132032011002000 in words is "one hundred thirty-two trillion, thirty-two billion, eleven million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 691 750 1000 1200 1382 1500 2000 2073 2764 3000 3455 4146 5528 6000 6910 8292 10365 11056 13820 16584 17275 20730 27640 33168 34550 41460 51825 55280 69100 82920 86375 103650 138200 165840 172750 207300 259125 276400 345500 414600 518250 691000 829200 1036500 1382000 2073000 4146000 31845637 63691274 95536911 127382548 159228185 191073822 254765096 318456370 382147644 477684555 509530192 636912740 764295288 796140925 955369110 1273825480 1528590576 1592281850 1910738220 2388422775 2547650960 3184563700 3821476440 3980704625 4776845550 6369127400 7642952880 7961409250 9553691100 11942113875 12738254800 15922818500 19107382200 22005335167 23884227750 31845637000 38214764400 44010670334 47768455500 63691274000 66016005501 88021340668 95536911000 110026675835 132032011002 176042681336 191073822000 220053351670 264064022004 330080027505 352085362672 440106703340 528128044008 550133379175 660160055010 880213406680 1056256088016 1100266758350 1320320110020 1650400137525 1760426813360 2200533516700 2640640220040 2750666895875 3300800275050 4401067033400 5281280440080 5501333791750 6601600550100 8252000687625 8802134066800 11002667583500 13203201100200 16504001375250 22005335167000 26406402200400 33008002750500 44010670334000 66016005501000 132032011002000