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132310130000 = 2454106912377
BaseRepresentation
bin111101100111001001…
…1000101110101010000
3110122111220212000020012
41323032103011311100
54131432343130000
6140441001134052
712362524356146
oct1731623056520
9418456760205
10132310130000
1151126689a84
122178648a328
13c627685769
146592213596
153695a86735
hex1ece4c5d50

132310130000 has 100 divisors (see below), whose sum is σ = 320661621060. Its totient is φ = 52870272000.

The previous prime is 132310129999. The next prime is 132310130011. The reversal of 132310130000 is 31013231.

132310130000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 123223465024 + 9086664976 = 351032^2 + 95324^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10683812 + ... + 10696188.

Almost surely, 2132310130000 is an apocalyptic number.

132310130000 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 132310130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160330810530).

132310130000 is an abundant number, since it is smaller than the sum of its proper divisors (188351491060).

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

132310130000 is a wasteful number, since it uses less digits than its factorization.

132310130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13474 (or 13453 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 132310130000 its reverse (31013231), we get a palindrome (132341143231).

The spelling of 132310130000 in words is "one hundred thirty-two billion, three hundred ten million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1069 1250 2000 2138 2500 4276 5000 5345 8552 10000 10690 12377 17104 21380 24754 26725 42760 49508 53450 61885 85520 99016 106900 123770 133625 198032 213800 247540 267250 309425 427600 495080 534500 618850 668125 990160 1069000 1237700 1336250 1547125 2138000 2475400 2672500 3094250 4950800 5345000 6188500 7735625 10690000 12377000 13231013 15471250 24754000 26462026 30942500 52924052 61885000 66155065 105848104 123770000 132310130 211696208 264620260 330775325 529240520 661550650 1058481040 1323101300 1653876625 2646202600 3307753250 5292405200 6615506500 8269383125 13231013000 16538766250 26462026000 33077532500 66155065000 132310130000