Search a number
-
+
11331023000304 = 243733723282739
BaseRepresentation
bin1010010011100011010110…
…0110011101001011110000
31111010020100110211102000210
42210320311212131023300
52441121413342002204
640033222231144120
72246432212232010
oct244706546351360
944106313742023
1011331023000304
1136795070a2537
121330040815040
13642684548b77
142b25d2939c40
15149b2c6b8389
hexa4e3599d2f0

11331023000304 has 40 divisors (see below), whose sum is σ = 33453496478080. Its totient is φ = 3237435142848.

The previous prime is 11331023000303. The next prime is 11331023000333. The reversal of 11331023000304 is 40300032013311.

11331023000304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331023000303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16861641034 + ... + 16861641705.

It is an arithmetic number, because the mean of its divisors is an integer number (836337411952).

Almost surely, 211331023000304 is an apocalyptic number.

11331023000304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11331023000304 is an abundant number, since it is smaller than the sum of its proper divisors (22122473477776).

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

11331023000304 is a wasteful number, since it uses less digits than its factorization.

11331023000304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33723282757 (or 33723282751 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 11331023000304 its reverse (40300032013311), we get a palindrome (51631055013615).

The spelling of 11331023000304 in words is "eleven trillion, three hundred thirty-one billion, twenty-three million, three hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 33723282739 67446565478 101169848217 134893130956 202339696434 236062979173 269786261912 404679392868 472125958346 539572523824 708188937519 809358785736 944251916692 1416377875038 1618717571472 1888503833384 2832755750076 3777007666768 5665511500152 11331023000304