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11304040341 = 3112416171231
BaseRepresentation
bin10101000011100010…
…11111011110010101
31002011210112202011210
422201301133132111
5141122313242331
65105404452033
7550060520556
oct124161373625
932153482153
1011304040341
114880921900
12223584a019
1310b1c0b489
1479341632d
154625ea446
hex2a1c5f795

11304040341 has 48 divisors (see below), whose sum is σ = 17012185344. Its totient is φ = 6667584000.

The previous prime is 11304040313. The next prime is 11304040343. The reversal of 11304040341 is 14304040311.

It is not a de Polignac number, because 11304040341 - 29 = 11304039829 is a prime.

It is a super-3 number, since 3×113040403413 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304040343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9182196 + ... + 9183426.

It is an arithmetic number, because the mean of its divisors is an integer number (354420528).

Almost surely, 211304040341 is an apocalyptic number.

11304040341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11304040341 is a deficient number, since it is larger than the sum of its proper divisors (5708145003).

11304040341 is a wasteful number, since it uses less digits than its factorization.

11304040341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11304040341 its reverse (14304040311), we get a palindrome (25608080652).

The spelling of 11304040341 in words is "eleven billion, three hundred four million, forty thousand, three hundred forty-one".

Divisors: 1 3 11 33 41 121 123 363 451 617 1231 1353 1851 3693 4961 6787 13541 14883 20361 25297 40623 50471 74657 75891 148951 151413 223971 278267 446853 555181 759527 834801 1665543 2278581 3060937 6106991 8354797 9182811 18320973 25064391 31140607 91902767 93421821 275708301 342546677 1027640031 3768013447 11304040341