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1325312332400 = 24527473325833
BaseRepresentation
bin10011010010010010110…
…001010101001001110000
311200200212021222011112202
4103102102301111021300
5133203214424114100
62452501242442332
7164515321645010
oct23222261251160
94620767864482
101325312332400
11471075296171
12194a305033a8
1397c90258b14
14482071d5c40
152471b2407d5
hex13492c55270

1325312332400 has 60 divisors (see below), whose sum is σ = 3638929011792. Its totient is φ = 454392798720.

The previous prime is 1325312332397. The next prime is 1325312332403. The reversal of 1325312332400 is 42332135231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1325312332397) and next prime (1325312332403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1325312332403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 236660117 + ... + 236665716.

Almost surely, 21325312332400 is an apocalyptic number.

1325312332400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1325312332400 is an abundant number, since it is smaller than the sum of its proper divisors (2313616679392).

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

1325312332400 is a wasteful number, since it uses less digits than its factorization.

1325312332400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473325858 (or 473325847 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 1325312332400 its reverse (42332135231), we get a palindrome (1367644467631).

The spelling of 1325312332400 in words is "one trillion, three hundred twenty-five billion, three hundred twelve million, three hundred thirty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 473325833 946651666 1893303332 2366629165 3313280831 3786606664 4733258330 6626561662 7573213328 9466516660 11833145825 13253123324 16566404155 18933033320 23666291650 26506246648 33132808310 37866066640 47332583300 53012493296 66265616620 82832020775 94665166600 132531233240 165664041550 189330333200 265062466480 331328083100 662656166200 1325312332400