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130131310320 = 243351117322171
BaseRepresentation
bin111100100110001101…
…1100011011011110000
3110102220002000111112000
41321030123203123300
54113002103412240
6135440445334000
712254526613164
oct1711433433360
9412802014460
10130131310320
1150208806560
1221278867300
13c36b15b84b
146426acaca4
1535b9650430
hex1e4c6e36f0

130131310320 has 320 divisors, whose sum is σ = 517743290880. Its totient is φ = 29691187200.

The previous prime is 130131310279. The next prime is 130131310333. The reversal of 130131310320 is 23013131031.

It is a happy number.

130131310320 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 31 + 310 + 320 = 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 = 130131310293 and 130131310302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242835 + ... + 565005.

It is an arithmetic number, because the mean of its divisors is an integer number (1617947784).

Almost surely, 2130131310320 is an apocalyptic number.

130131310320 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 130131310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258871645440).

130131310320 is an abundant number, since it is smaller than the sum of its proper divisors (387611980560).

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

130131310320 is a wasteful number, since it uses less digits than its factorization.

130131310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322221 (or 322209 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130131310320 its reverse (23013131031), we get a palindrome (153144441351).

The spelling of 130131310320 in words is "one hundred thirty billion, one hundred thirty-one million, three hundred ten thousand, three hundred twenty".