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2318811300 = 2234521319261
BaseRepresentation
bin1000101000110110…
…0100000010100100
312222121020211010000
42022031210002210
514222103430200
61022032101300
7111314366541
oct21215440244
95877224100
102318811300
11a8a9aa283
12548694830
132ac5304c0
1417dd67bc8
15d888a300
hex8a3640a4

2318811300 has 540 divisors, whose sum is σ = 8683399956. Its totient is φ = 531878400.

The previous prime is 2318811289. The next prime is 2318811301. The reversal of 2318811300 is 31188132.

It can be written as a sum of positive squares in 6 ways, for example, as 825297984 + 1493513316 = 28728^2 + 38646^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2318811301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 38013270 + ... + 38013330.

Almost surely, 22318811300 is an apocalyptic number.

2318811300 is a gapful number since it is divisible by the number (20) 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 2318811300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4341699978).

2318811300 is an abundant number, since it is smaller than the sum of its proper divisors (6364588656).

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

2318811300 is a wasteful number, since it uses less digits than its factorization.

2318811300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2318811300 is about 48154.0372139242. The cubic root of 2318811300 is about 1323.5950552540.

Adding to 2318811300 its reverse (31188132), we get a palindrome (2349999432).

The spelling of 2318811300 in words is "two billion, three hundred eighteen million, eight hundred eleven thousand, three hundred".