Search a number
-
+
12004141303 = 7111729316223
BaseRepresentation
bin10110010111000000…
…01010100011110111
31010222120220120011001
423023200022203313
5144041030010203
65303054224131
7603321342340
oct131340124367
933876816131
1012004141303
115100030040
1223b01b5047
131193c847bb
1481c3b90c7
154a3cdc91d
hex2cb80a8f7

12004141303 has 32 divisors (see below), whose sum is σ = 16393052160. Its totient is φ = 8500047360.

The previous prime is 12004141291. The next prime is 12004141313. The reversal of 12004141303 is 30314140021.

12004141303 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12004141303 - 29 = 12004140791 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004141313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 120151 + ... + 196072.

It is an arithmetic number, because the mean of its divisors is an integer number (512282880).

Almost surely, 212004141303 is an apocalyptic number.

12004141303 is a deficient number, since it is larger than the sum of its proper divisors (4388910857).

12004141303 is a wasteful number, since it uses less digits than its factorization.

12004141303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316287.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12004141303 its reverse (30314140021), we get a palindrome (42318281324).

The spelling of 12004141303 in words is "twelve billion, four million, one hundred forty-one thousand, three hundred three".

Divisors: 1 7 11 17 29 77 119 187 203 319 493 1309 2233 3451 5423 37961 316223 2213561 3478453 5375791 9170467 24349171 37630537 59133701 64193269 100875137 155897939 413935907 706125959 1091285573 1714877329 12004141303