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132013032301200 = 24352676316266577
BaseRepresentation
bin11110000001000010101101…
…111001010110001010010000
3122022102022201012102122010010
4132001002231321112022100
5114300400142232114300
61144433541054234520
736543425002016001
oct3601025571261220
9568368635378103
10132013032301200
113907745a185876
12129810154b5a40
135887a10aba78b
1424856717c51a8
15103de66758a50
hex7810ade56290

132013032301200 has 120 divisors (see below), whose sum is σ = 422944301527648. Its totient is φ = 35198267811840.

The previous prime is 132013032301079. The next prime is 132013032301201. The reversal of 132013032301200 is 2103230310231.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (132013032301201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17689 + ... + 16248888.

Almost surely, 2132013032301200 is an apocalyptic number.

132013032301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132013032301200 is an abundant number, since it is smaller than the sum of its proper divisors (290931269226448).

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

132013032301200 is a wasteful number, since it uses less digits than its factorization.

132013032301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16273361 (or 16273350 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 132013032301200 its reverse (2103230310231), we get a palindrome (134116262611431).

The spelling of 132013032301200 in words is "one hundred thirty-two trillion, thirteen billion, thirty-two million, three hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 6763 13526 20289 27052 33815 40578 54104 67630 81156 101445 108208 135260 162312 169075 202890 270520 324624 338150 405780 507225 541040 676300 811560 1014450 1352600 1623120 2028900 2705200 4057800 8115600 16266577 32533154 48799731 65066308 81332885 97599462 130132616 162665770 195198924 243998655 260265232 325331540 390397848 406664425 487997310 650663080 780795696 813328850 975994620 1219993275 1301326160 1626657700 1951989240 2439986550 3253315400 3903978480 4879973100 6506630800 9759946200 19519892400 110010860251 220021720502 330032580753 440043441004 550054301255 660065161506 880086882008 1100108602510 1320130323012 1650162903765 1760173764016 2200217205020 2640260646024 2750271506275 3300325807530 4400434410040 5280521292048 5500543012550 6600651615060 8250814518825 8800868820080 11001086025100 13201303230120 16501629037650 22002172050200 26402606460240 33003258075300 44004344100400 66006516150600 132013032301200