Search a number
-
+
330303010210020 = 223251835016723389
BaseRepresentation
bin100101100011010001010100…
…1100101111000000011100100
31121022111122210200210212221100
41023012202221211320003210
5321243141031103210040
63130255035203520100
7126400414336360311
oct11306425145700344
91538448720725840
10330303010210020
11962767a1311151
1231066b29989030
131123c5951c0513
145b7ca72a27d08
15282be15205b30
hex12c68a99780e4

330303010210020 has 36 divisors (see below), whose sum is σ = 1001919130970940. Its totient is φ = 88080802722624.

The previous prime is 330303010210013. The next prime is 330303010210021. The reversal of 330303010210020 is 20012010303033.

330303010210020 is a `hidden beast` number, since 330 + 3 + 0 + 301 + 0 + 2 + 10 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221558699983104 + 108744310226916 = 14884848^2 + 10428054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 330303010209975 and 330303010210002.

It is not an unprimeable number, because it can be changed into a prime (330303010210021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 917508361515 + ... + 917508361874.

It is an arithmetic number, because the mean of its divisors is an integer number (27831086971415).

Almost surely, 2330303010210020 is an apocalyptic number.

330303010210020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330303010210020 is an abundant number, since it is smaller than the sum of its proper divisors (671616120760920).

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

330303010210020 is a wasteful number, since it uses less digits than its factorization.

330303010210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835016723404 (or 1835016723399 counting only the distinct ones).

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

Adding to 330303010210020 its reverse (20012010303033), we get a palindrome (350315020513053).

The spelling of 330303010210020 in words is "three hundred thirty trillion, three hundred three billion, ten million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1835016723389 3670033446778 5505050170167 7340066893556 9175083616945 11010100340334 16515150510501 18350167233890 22020200680668 27525250850835 33030301021002 36700334467780 55050501701670 66060602042004 82575752552505 110101003403340 165151505105010 330303010210020