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1323213120 = 263251014549
BaseRepresentation
bin100111011011110…
…1010000101000000
310102012212012011100
41032313222011000
510202220304440
6335145014400
744535061125
oct11667520500
93365765140
101323213120
11619a12669
1230b184400
131811a4a58
14c7a4474c
157b278230
hex4edea140

1323213120 has 168 divisors, whose sum is σ = 4597374600. Its totient is φ = 349286400.

The previous prime is 1323213109. The next prime is 1323213169. The reversal of 1323213120 is 213123231.

1323213120 is a `hidden beast` number, since 1 + 32 + 321 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 598095936 + 725117184 = 24456^2 + 26928^2 .

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 = 1323213093 and 1323213102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288606 + ... + 293154.

It is an arithmetic number, because the mean of its divisors is an integer number (27365325).

Almost surely, 21323213120 is an apocalyptic number.

1323213120 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 1323213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298687300).

1323213120 is an abundant number, since it is smaller than the sum of its proper divisors (3274161480).

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

1323213120 is a wasteful number, since it uses less digits than its factorization.

1323213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4673 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1323213120 is about 36375.9964811962. The cubic root of 1323213120 is about 1097.8506570251.

Adding to 1323213120 its reverse (213123231), we get a palindrome (1536336351).

The spelling of 1323213120 in words is "one billion, three hundred twenty-three million, two hundred thirteen thousand, one hundred twenty".