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132103323300 = 2235213260912983
BaseRepresentation
bin111101100000111111…
…0001011111010100100
3110121222111201010202210
41323001332023322210
54131021422321200
6140404252403420
712354433502154
oct1730176137244
9417874633683
10132103323300
115102a978053
1221729176570
13c5c3887230
14657297c764
153682835650
hex1ec1f8bea4

132103323300 has 144 divisors (see below), whose sum is σ = 411809892480. Its totient is φ = 32502773760.

The previous prime is 132103323281. The next prime is 132103323343. The reversal of 132103323300 is 3323301231.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10168609 + ... + 10181591.

It is an arithmetic number, because the mean of its divisors is an integer number (2859790920).

Almost surely, 2132103323300 is an apocalyptic number.

132103323300 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 132103323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205904946240).

132103323300 is an abundant number, since it is smaller than the sum of its proper divisors (279706569180).

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

132103323300 is a wasteful number, since it uses less digits than its factorization.

132103323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15622 (or 15615 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 132103323300 its reverse (3323301231), we get a palindrome (135426624531).

The spelling of 132103323300 in words is "one hundred thirty-two billion, one hundred three million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 2609 3900 5218 7827 10436 12983 13045 15654 25966 26090 31308 33917 38949 39135 51932 52180 64915 65225 67834 77898 78270 101751 129830 130450 135668 155796 156540 168779 169585 194745 195675 203502 259660 260900 324575 337558 339170 389490 391350 407004 506337 508755 649150 675116 678340 778980 782700 843895 847925 973725 1012674 1017510 1298300 1687790 1695850 1947450 2025348 2035020 2531685 2543775 3375580 3391700 3894900 4219475 5063370 5087550 8438950 10126740 10175100 12658425 16877900 25316850 33872647 50633700 67745294 101617941 135490588 169363235 203235882 338726470 406471764 440344411 508089705 677452940 846816175 880688822 1016179410 1321033233 1693632350 1761377644 2032358820 2201722055 2540448525 2642066466 3387264700 4403444110 5080897050 5284132932 6605166165 8806888220 10161794100 11008610275 13210332330 22017220550 26420664660 33025830825 44034441100 66051661650 132103323300