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130112304120 = 233253797100703
BaseRepresentation
bin111100100101101001…
…1000011001111111000
3110102211202020212220200
41321023103003033320
54112432222212440
6135434530122200
712254206223421
oct1711323031770
9412752225820
10130112304120
11501a9004957
1221272420360
13c367235886
146424380648
1535b7b48c30
hex1e4b4c33f8

130112304120 has 192 divisors, whose sum is σ = 438775384320. Its totient is φ = 33410506752.

The previous prime is 130112304103. The next prime is 130112304143. The reversal of 130112304120 is 21403211031.

130112304120 is a `hidden beast` number, since 13 + 0 + 11 + 230 + 412 + 0 = 666.

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 = 130112304093 and 130112304102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1241689 + ... + 1342391.

It is an arithmetic number, because the mean of its divisors is an integer number (2285288460).

Almost surely, 2130112304120 is an apocalyptic number.

130112304120 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 130112304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219387692160).

130112304120 is an abundant number, since it is smaller than the sum of its proper divisors (308663080200).

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

130112304120 is a wasteful number, since it uses less digits than its factorization.

130112304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100854 (or 100847 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 130112304120 its reverse (21403211031), we get a palindrome (151515515151).

The spelling of 130112304120 in words is "one hundred thirty billion, one hundred twelve million, three hundred four thousand, one hundred twenty".