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130313322112 = 2717312101617
BaseRepresentation
bin111100101011101000…
…1110111111010000000
3110110100202111122202111
41321113101313322000
54113340202301422
6135510510425104
712262166650621
oct1712721677200
9413322448674
10130313322112
11502a1522726
1221309802194
13c399a8832c
146442d49a48
1535ca604a77
hex1e57477e80

130313322112 has 192 divisors, whose sum is σ = 287309893320. Its totient is φ = 58662912000.

The previous prime is 130313322089. The next prime is 130313322173. The reversal of 130313322112 is 211223313031.

It can be written as a sum of positive squares in 4 ways, for example, as 121756332096 + 8556990016 = 348936^2 + 92504^2 .

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, 211204428 + ... + 211205044.

Almost surely, 2130313322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130313322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143654946660).

130313322112 is an abundant number, since it is smaller than the sum of its proper divisors (156996571208).

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

130313322112 is a wasteful number, since it uses less digits than its factorization.

130313322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 130313322112 its reverse (211223313031), we get a palindrome (341536635143).

The spelling of 130313322112 in words is "one hundred thirty billion, three hundred thirteen million, three hundred twenty-two thousand, one hundred twelve".