Search a number
-
+
303112330000 = 2454113313857
BaseRepresentation
bin1000110100100101110…
…01110001101100010000
31001222101102022202212121
410122102321301230100
514431233224030000
6351125313104024
730620256202624
oct4322271615420
91058342282777
10303112330000
1110760500a957
124a8b3858014
1322777882bac
1410956629184
157d40a40b1a
hex4692e71b10

303112330000 has 200 divisors, whose sum is σ = 743591668248. Its totient is φ = 119648256000.

The previous prime is 303112329991. The next prime is 303112330043. The reversal of 303112330000 is 33211303.

It can be written as a sum of positive squares in 20 ways, for example, as 274140205056 + 28972124944 = 523584^2 + 170212^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 353689572 + ... + 353690428.

Almost surely, 2303112330000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303112330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371795834124).

303112330000 is an abundant number, since it is smaller than the sum of its proper divisors (440479338248).

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

303112330000 is a wasteful number, since it uses less digits than its factorization.

303112330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 303112330000 its reverse (33211303), we get a palindrome (303145541303).

The spelling of 303112330000 in words is "three hundred three billion, one hundred twelve million, three hundred thirty thousand".