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1312221303200 = 25526917237137
BaseRepresentation
bin10011000110000110011…
…111000001000110100000
311122110001221212222111102
4103012012133001012200
5132444412123200300
62442454240333532
7163543032020063
oct23060637010640
94573057788442
101312221303200
11466567797175
121923983142a8
13969850648b2
14477247328da
1524201d0c0d5
hex131867c11a0

1312221303200 has 72 divisors (see below), whose sum is σ = 3203936895852. Its totient is φ = 524810424320.

The previous prime is 1312221303181. The next prime is 1312221303221. The reversal of 1312221303200 is 23031222131.

It can be written as a sum of positive squares in 6 ways, for example, as 873484636816 + 438736666384 = 934604^2 + 662372^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5415032 + ... + 5652168.

Almost surely, 21312221303200 is an apocalyptic number.

1312221303200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312221303200 is an abundant number, since it is smaller than the sum of its proper divisors (1891715592652).

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

1312221303200 is a wasteful number, since it uses less digits than its factorization.

1312221303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244074 (or 244061 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1312221303200 its reverse (23031222131), we get a palindrome (1335252525331).

The spelling of 1312221303200 in words is "one trillion, three hundred twelve billion, two hundred twenty-one million, three hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 6917 13834 27668 34585 55336 69170 110672 138340 172925 221344 237137 276680 345850 474274 553360 691700 948548 1106720 1185685 1383400 1897096 2371370 2766800 3794192 4742740 5533600 5928425 7588384 9485480 11856850 18970960 23713700 37941920 47427400 94854800 189709600 1640276629 3280553258 6561106516 8201383145 13122213032 16402766290 26244426064 32805532580 41006915725 52488852128 65611065160 82013831450 131222130320 164027662900 262444260640 328055325800 656110651600 1312221303200