Search a number
-
+
330300030320100 = 223452711016956479
BaseRepresentation
bin100101100011001111111011…
…1111110011111110111100100
31121022111101010000121210110000
41023012133313332133313210
5321243113430230220400
63130253423354301300
7126400250443622511
oct11306376776376744
91538441100553400
10330300030320100
1196275502236805
1231066437a27830
131123c20ba2a549
145b7c86cd78308
15282bcdd7d5600
hex12c67f7f9fde4

330300030320100 has 360 divisors, whose sum is σ = 1085908522406400. Its totient is φ = 86829367564800.

The previous prime is 330300030320087. The next prime is 330300030320107. The reversal of 330300030320100 is 1023030003033.

330300030320100 is a `hidden beast` number, since 3 + 3 + 0 + 300 + 0 + 30 + 320 + 10 + 0 = 666.

It is a super-2 number, since 2×3303000303201002 (a number of 30 digits) contains 22 as substring.

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 (330300030320107) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5848163661 + ... + 5848220139.

It is an arithmetic number, because the mean of its divisors is an integer number (3016412562240).

Almost surely, 2330300030320100 is an apocalyptic number.

330300030320100 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 330300030320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542954261203200).

330300030320100 is an abundant number, since it is smaller than the sum of its proper divisors (755608492086300).

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

330300030320100 is a wasteful number, since it uses less digits than its factorization.

330300030320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66745 (or 66729 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 330300030320100 its reverse (1023030003033), we get a palindrome (331323060323133).

The spelling of 330300030320100 in words is "three hundred thirty trillion, three hundred billion, thirty million, three hundred twenty thousand, one hundred".