Search a number
-
+
302233130000 = 245430223313
BaseRepresentation
bin1000110010111100111…
…11111001010000010000
31001220010010221210012122
410121132133321100100
514422433140130000
6350502144513412
730556422134414
oct4313637712020
91056103853178
10302233130000
111071a37a498a
124a6a931b868
132266768cac9
14108b1964d44
157cdd772085
hex465e7f9410

302233130000 has 50 divisors (see below), whose sum is σ = 731736655254. Its totient is φ = 120893248000.

The previous prime is 302233129993. The next prime is 302233130009. The reversal of 302233130000 is 31332203.

It can be written as a sum of positive squares in 5 ways, for example, as 168195133456 + 134037996544 = 410116^2 + 366112^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-3 number, since 3×3022331300003 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (302233130009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 15101657 + ... + 15121656.

Almost surely, 2302233130000 is an apocalyptic number.

It is an amenable number.

302233130000 is an abundant number, since it is smaller than the sum of its proper divisors (429503525254).

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

302233130000 is an equidigital number, since it uses as much as digits as its factorization.

302233130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30223341 (or 30223320 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 302233130000 its reverse (31332203), we get a palindrome (302264462203).

The spelling of 302233130000 in words is "three hundred two billion, two hundred thirty-three million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 30223313 60446626 120893252 151116565 241786504 302233130 483573008 604466260 755582825 1208932520 1511165650 2417865040 3022331300 3777914125 6044662600 7555828250 12089325200 15111656500 18889570625 30223313000 37779141250 60446626000 75558282500 151116565000 302233130000