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1323130320 = 243251837681
BaseRepresentation
bin100111011011101…
…0101110111010000
310102012200222120200
41032313111313100
510202210132240
6335143135200
744534264541
oct11667256720
93365628520
101323130320
11619966436
1230b144500
13181176165
14c7a224c8
157b25d930
hex4edd5dd0

1323130320 has 60 divisors (see below), whose sum is σ = 4443515076. Its totient is φ = 352834560.

The previous prime is 1323130309. The next prime is 1323130327. The reversal of 1323130320 is 230313231.

1323130320 is a `hidden beast` number, since 1 + 32 + 313 + 0 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 492307344 + 830822976 = 22188^2 + 28824^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1323130293 and 1323130302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323130327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 918121 + ... + 919560.

Almost surely, 21323130320 is an apocalyptic number.

1323130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1323130320 is an abundant number, since it is smaller than the sum of its proper divisors (3120384756).

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

1323130320 is a wasteful number, since it uses less digits than its factorization.

1323130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1837700 (or 1837691 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1323130320 is about 36374.8583502397. The cubic root of 1323130320 is about 1097.8277572293.

Adding to 1323130320 its reverse (230313231), we get a palindrome (1553443551).

The spelling of 1323130320 in words is "one billion, three hundred twenty-three million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1837681 3675362 5513043 7350724 9188405 11026086 14701448 16539129 18376810 22052172 27565215 29402896 33078258 36753620 44104344 55130430 66156516 73507240 82695645 88208688 110260860 132313032 147014480 165391290 220521720 264626064 330782580 441043440 661565160 1323130320