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130331230320000 = 2735417127251527
BaseRepresentation
bin11101101000100100011010…
…101011111011010110000000
3122002110112200112021221122110
4131220210122223323112000
5114040321324430220000
61141105201325135320
736311056246031553
oct3550443253732600
9562415615257573
10130331230320000
1138589189873146
121274b0953ba540
13579524a627b88
1424280caccc69a
1510103338aa850
hex76891aafb580

130331230320000 has 640 divisors, whose sum is σ = 461657630269440. Its totient is φ = 32452890624000.

The previous prime is 130331230319989. The next prime is 130331230320007. The reversal of 130331230320000 is 23032133031.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130331230320007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 518034237 + ... + 518285763.

It is an arithmetic number, because the mean of its divisors is an integer number (721340047296).

Almost surely, 2130331230320000 is an apocalyptic number.

130331230320000 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 130331230320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230828815134720).

130331230320000 is an abundant number, since it is smaller than the sum of its proper divisors (331326399949440).

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

130331230320000 is a wasteful number, since it uses less digits than its factorization.

130331230320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251708 (or 251681 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 130331230320000 its reverse (23032133031), we get a palindrome (130354262453031).

The spelling of 130331230320000 in words is "one hundred thirty trillion, three hundred thirty-one billion, two hundred thirty million, three hundred twenty thousand".