Search a number
-
+
303130003200000 = 211355311134507
BaseRepresentation
bin100010011101100011111010…
…0001010010101100000000000
31110202021221112010011200111120
41010323013310022111200000
5304212440221304400000
62552412000115312240
7120564264030630024
oct10473076412254000
91422257463150446
10303130003200000
118864a792250559
1229bb87608ab680
131001b062689c22
1454bd7db3cc384
15250a1913496a0
hex113b1f4295800

303130003200000 has 1152 divisors, whose sum is σ = 1052167476971520. Its totient is φ = 77517619200000.

The previous prime is 303130003199987. The next prime is 303130003200071. The reversal of 303130003200000 is 2300031303.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 67257597747 + ... + 67257602253.

It is an arithmetic number, because the mean of its divisors is an integer number (913339823760).

Almost surely, 2303130003200000 is an apocalyptic number.

303130003200000 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 303130003200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526083738485760).

303130003200000 is an abundant number, since it is smaller than the sum of its proper divisors (749037473771520).

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

303130003200000 is an equidigital number, since it uses as much as digits as its factorization.

303130003200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 303130003200000 its reverse (2300031303), we get a palindrome (303132303231303).

The spelling of 303130003200000 in words is "three hundred three trillion, one hundred thirty billion, three million, two hundred thousand".