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130130010303216 = 243721124130416863
BaseRepresentation
bin11101100101101001000001…
…000010011110101011110000
3122001202022022011022222202020
4131211221001002132223300
5114024022230114200331
61140432522413551440
736260403652100400
oct3545510102365360
9561668264288666
10130130010303216
1138510911374310
12127180991a5580
13577c2906265a1
14241c47cb8a800
151009ea8294c96
hex765a4109eaf0

130130010303216 has 480 divisors, whose sum is σ = 428577766695936. Its totient is φ = 33643782144000.

The previous prime is 130130010303193. The next prime is 130130010303217. The reversal of 130130010303216 is 612303010031031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130130010303217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18961093801 + ... + 18961100663.

Almost surely, 2130130010303216 is an apocalyptic number.

130130010303216 is a gapful number since it is divisible by the number (16) 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 130130010303216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214288883347968).

130130010303216 is an abundant number, since it is smaller than the sum of its proper divisors (298447756392720).

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

130130010303216 is a wasteful number, since it uses less digits than its factorization.

130130010303216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10181 (or 10168 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 130130010303216 its reverse (612303010031031), we get a palindrome (742433020334247).

The spelling of 130130010303216 in words is "one hundred thirty trillion, one hundred thirty billion, ten million, three hundred three thousand, two hundred sixteen".