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130323120 = 24351912843
BaseRepresentation
bin1111100010010…
…01001010110000
3100002020002201020
413301021022300
5231330314440
620533135440
73141504534
oct761111260
9302202636
10130323120
1167622764
123778a580
1320ccc895
1413445bc4
15b6943d0
hex7c492b0

130323120 has 80 divisors (see below), whose sum is σ = 406259712. Its totient is φ = 34558720.

The previous prime is 130323097. The next prime is 130323121. The reversal of 130323120 is 21323031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130323120.

It is not an unprimeable number, because it can be changed into a prime (130323121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44419 + ... + 47261.

Almost surely, 2130323120 is an apocalyptic number.

130323120 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 130323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203129856).

130323120 is an abundant number, since it is smaller than the sum of its proper divisors (275936592).

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

130323120 is a wasteful number, since it uses less digits than its factorization.

130323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 130323120 is about 11415.9152064125. The cubic root of 130323120 is about 506.9990624338. Note that the first 3 decimals are identical.

Adding to 130323120 its reverse (21323031), we get a palindrome (151646151).

The spelling of 130323120 in words is "one hundred thirty million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1910 2292 2843 2865 3056 3820 4584 5686 5730 7640 8529 9168 11372 11460 14215 15280 17058 22744 22920 28430 34116 42645 45488 45840 56860 68232 85290 113720 136464 170580 227440 341160 543013 682320 1086026 1629039 2172052 2715065 3258078 4344104 5430130 6516156 8145195 8688208 10860260 13032312 16290390 21720520 26064624 32580780 43441040 65161560 130323120