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130322100330000 = 24325410314058479
BaseRepresentation
bin11101101000011011111010…
…011111110001111000010000
3122002102200010020121101212200
4131220123322133301320100
5114040144130141030000
61141101051341523200
736310314064301115
oct3550337237617020
9562380106541780
10130322100330000
1138585324167567
1212749367873500
135794423c63827
1424278a251a90c
15100ee9c0a3500
hex7686fa7f1e10

130322100330000 has 300 divisors, whose sum is σ = 460180049746560. Its totient is φ = 34415154144000.

The previous prime is 130322100329977. The next prime is 130322100330001. The reversal of 130322100330000 is 33001223031.

130322100330000 is a `hidden beast` number, since 1 + 3 + 0 + 322 + 10 + 0 + 330 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×1303221003300003 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (130322100330001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2240761 + ... + 16299239.

Almost surely, 2130322100330000 is an apocalyptic number.

130322100330000 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 130322100330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230090024873280).

130322100330000 is an abundant number, since it is smaller than the sum of its proper divisors (329857949416560).

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

130322100330000 is a wasteful number, since it uses less digits than its factorization.

130322100330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14058616 (or 14058592 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130322100330000 its reverse (33001223031), we get a palindrome (130355101553031).

The spelling of 130322100330000 in words is "one hundred thirty trillion, three hundred twenty-two billion, one hundred million, three hundred thirty thousand".