Search a number
-
+
30320301010320 = 2432542111529181
BaseRepresentation
bin1101110010011011111101…
…10001010110110110010000
310222100120222220112222000100
412321031332301112312100
512433231434024312240
6144252542021252400
76246366216143556
oct671157661266620
9128316886488010
1030320301010320
11972a849520932
12349833b564100
1313bc2661083a9
1476b72076bbd6
15378a79861e30
hex1b937ec56d90

30320301010320 has 60 divisors (see below), whose sum is σ = 101825677562076. Its totient is φ = 8085413602560.

The previous prime is 30320301010283. The next prime is 30320301010343. The reversal of 30320301010320 is 2301010302303.

30320301010320 is a `hidden beast` number, since 3 + 0 + 32 + 0 + 301 + 0 + 10 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6780066068736 + 23540234941584 = 2603856^2 + 4851828^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 30320301010293 and 30320301010302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21055763871 + ... + 21055765310.

Almost surely, 230320301010320 is an apocalyptic number.

30320301010320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30320301010320 is an abundant number, since it is smaller than the sum of its proper divisors (71505376551756).

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

30320301010320 is a wasteful number, since it uses less digits than its factorization.

30320301010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42111529200 (or 42111529191 counting only the distinct ones).

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

Adding to 30320301010320 its reverse (2301010302303), we get a palindrome (32621311312623).

The spelling of 30320301010320 in words is "thirty trillion, three hundred twenty billion, three hundred one million, ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 42111529181 84223058362 126334587543 168446116724 210557645905 252669175086 336892233448 379003762629 421115291810 505338350172 631672937715 673784466896 758007525258 842230583620 1010676700344 1263345875430 1516015050516 1684461167240 1895018813145 2021353400688 2526691750860 3032030101032 3368922334480 3790037626290 5053383501720 6064060202064 7580075252580 10106767003440 15160150505160 30320301010320