Search a number
-
+
305202300000 = 2535513139563
BaseRepresentation
bin1000111000011110111…
…10011000010001100000
31002011210001222020201220
410130033132120101200
520000023242100000
6352112532255040
731023124513623
oct4341736302140
91064701866656
10305202300000
11108487818294
124b197771480
1322a1b86b630
1410ab4023dba
157e142761a0
hex470f798460

305202300000 has 576 divisors, whose sum is σ = 1088097857280. Its totient is φ = 74453760000.

The previous prime is 305202299999. The next prime is 305202300043. The reversal of 305202300000 is 3202503.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 542099719 + ... + 542100281.

It is an arithmetic number, because the mean of its divisors is an integer number (1889058780).

Almost surely, 2305202300000 is an apocalyptic number.

305202300000 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 305202300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544048928640).

305202300000 is an abundant number, since it is smaller than the sum of its proper divisors (782895557280).

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

305202300000 is a wasteful number, since it uses less digits than its factorization.

305202300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

Adding to 305202300000 its reverse (3202503), we get a palindrome (305205502503).

The spelling of 305202300000 in words is "three hundred five billion, two hundred two million, three hundred thousand".