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132301411000 = 23531143279707
BaseRepresentation
bin111101100110111000…
…1110101001010111000
3110122111022110001000021
41323031301311022320
54131423130123000
6140440050220224
712362360303263
oct1731561651270
9418438401007
10132301411000
11511217742a0
1221783584674
13c625921ca5
146590dc3cda
153694e1311a
hex1ecdc752b8

132301411000 has 128 divisors (see below), whose sum is σ = 345584828160. Its totient is φ = 46990608000.

The previous prime is 132301410979. The next prime is 132301411013. The reversal of 132301411000 is 114103231.

It is a congruent number.

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, 333147 + ... + 612853.

It is an arithmetic number, because the mean of its divisors is an integer number (2699881470).

Almost surely, 2132301411000 is an apocalyptic number.

132301411000 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 132301411000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172792414080).

132301411000 is an abundant number, since it is smaller than the sum of its proper divisors (213283417160).

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

132301411000 is a wasteful number, since it uses less digits than its factorization.

132301411000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279782 (or 279768 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132301411000 its reverse (114103231), we get a palindrome (132415514231).

The spelling of 132301411000 in words is "one hundred thirty-two billion, three hundred one million, four hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 125 172 200 215 220 250 275 344 430 440 473 500 550 860 946 1000 1075 1100 1375 1720 1892 2150 2200 2365 2750 3784 4300 4730 5375 5500 8600 9460 10750 11000 11825 18920 21500 23650 43000 47300 59125 94600 118250 236500 279707 473000 559414 1118828 1398535 2237656 2797070 3076777 5594140 6153554 6992675 11188280 12027401 12307108 13985350 15383885 24054802 24614216 27970700 30767770 34963375 48109604 55941400 60137005 61535540 69926750 76919425 96219208 120274010 123071080 132301411 139853500 153838850 240548020 264602822 279707000 300685025 307677700 384597125 481096040 529205644 601370050 615355400 661507055 769194250 1058411288 1202740100 1323014110 1503425125 1538388500 2405480200 2646028220 3006850250 3076777000 3307535275 5292056440 6013700500 6615070550 12027401000 13230141100 16537676375 26460282200 33075352750 66150705500 132301411000