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130343253120 = 2732559834621
BaseRepresentation
bin111100101100100010…
…0000011010010000000
3110110102211211022101100
41321121010003102000
54113420333044440
6135513500134400
712263012241213
oct1713104032200
9413384738340
10130343253120
11503074062a3
1221317837400
13c3a3037aa2
146446cdb77a
1535cd068230
hex1e59103480

130343253120 has 384 divisors, whose sum is σ = 463335163200. Its totient is φ = 33750097920.

The previous prime is 130343253113. The next prime is 130343253133. The reversal of 130343253120 is 21352343031.

130343253120 is a `hidden beast` number, since 1 + 3 + 0 + 343 + 2 + 5 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28204410 + ... + 28209030.

Almost surely, 2130343253120 is an apocalyptic number.

130343253120 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 130343253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231667581600).

130343253120 is an abundant number, since it is smaller than the sum of its proper divisors (332991910080).

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

130343253120 is a wasteful number, since it uses less digits than its factorization.

130343253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4788 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 130343253120 its reverse (21352343031), we get a palindrome (151695596151).

The spelling of 130343253120 in words is "one hundred thirty billion, three hundred forty-three million, two hundred fifty-three thousand, one hundred twenty".