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132020213121200 = 24521493221687707
BaseRepresentation
bin11110000001001001011001…
…111010000000000010110000
3122022110000020122102002022102
4132001021121322000002300
5114301004344024334300
61144441125412155532
736544100645000165
oct3601113172000260
9568400218362272
10132020213121200
113907a504602158
121298249a308ba8
1358885b66c38b1
142485b5337006c
15103e236d8e0d5
hex781259e800b0

132020213121200 has 120 divisors (see below), whose sum is σ = 319406874620400. Its totient is φ = 52437307417600.

The previous prime is 132020213121191. The next prime is 132020213121233. The reversal of 132020213121200 is 2121312020231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191627747 + ... + 192315453.

It is an arithmetic number, because the mean of its divisors is an integer number (2661723955170).

Almost surely, 2132020213121200 is an apocalyptic number.

132020213121200 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 132020213121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159703437310200).

132020213121200 is an abundant number, since it is smaller than the sum of its proper divisors (187386661499200).

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

132020213121200 is a wasteful number, since it uses less digits than its factorization.

132020213121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691095 (or 691084 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 132020213121200 its reverse (2121312020231), we get a palindrome (134141525141431).

The spelling of 132020213121200 in words is "one hundred thirty-two trillion, twenty billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 149 200 298 400 596 745 1192 1490 2384 2980 3221 3725 5960 6442 7450 11920 12884 14900 16105 25768 29800 32210 51536 59600 64420 80525 128840 161050 257680 322100 479929 644200 687707 959858 1288400 1375414 1919716 2399645 2750828 3438535 3839432 4799290 5501656 6877070 7678864 9598580 11003312 11998225 13754140 17192675 19197160 23996450 27508280 34385350 38394320 47992900 55016560 68770700 95985800 102468343 137541400 191971600 204936686 275082800 409873372 512341715 819746744 1024683430 1639493488 2049366860 2215104247 2561708575 4098733720 4430208494 5123417150 8197467440 8860416988 10246834300 11075521235 17720833976 20493668600 22151042470 35441667952 40987337200 44302084940 55377606175 88604169880 110755212350 177208339760 221510424700 330050532803 443020849400 660101065606 886041698800 1320202131212 1650252664015 2640404262424 3300505328030 5280808524848 6601010656060 8251263320075 13202021312120 16502526640150 26404042624240 33005053280300 66010106560600 132020213121200