Search a number
-
+
330332230302000 = 243531923312436271
BaseRepresentation
bin100101100011011110111011…
…1001111101011100100110000
31121022121110020002120100122020
41023012331313033223210300
5321244130401424131000
63130320310455511440
7126402500416143663
oct11306756717534460
91538543202510566
10330332230302000
11962881262977a3
1231070723688580
1311242270b18984
145b802456576da
15282ca75625ba0
hex12c6f773eb930

330332230302000 has 320 divisors, whose sum is σ = 1125854709258240. Its totient is φ = 83094181632000.

The previous prime is 330332230301911. The next prime is 330332230302013. The reversal of 330332230302000 is 203032233033.

It is a super-2 number, since 2×3303322303020002 (a number of 30 digits) contains 22 as substring.

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

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, 20343865 + ... + 32780135.

It is an arithmetic number, because the mean of its divisors is an integer number (3518295966432).

Almost surely, 2330332230302000 is an apocalyptic number.

330332230302000 is a gapful number since it is divisible by the number (30) 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 330332230302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562927354629120).

330332230302000 is an abundant number, since it is smaller than the sum of its proper divisors (795522478956240).

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

330332230302000 is a wasteful number, since it uses less digits than its factorization.

330332230302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12436549 (or 12436533 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 330332230302000 its reverse (203032233033), we get a palindrome (330535262535033).

The spelling of 330332230302000 in words is "three hundred thirty trillion, three hundred thirty-two billion, two hundred thirty million, three hundred two thousand".