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11334234331 = 7192231911021
BaseRepresentation
bin10101000111001001…
…01011000011011011
31002020220100202112201
422203210223003123
5141203030444311
65112403551031
7550605254650
oct124344530333
932226322481
1011334234331
114896975012
12224398b477
1310b8250844
14797435c27
154650b19c1
hex2a392b0db

11334234331 has 48 divisors (see below), whose sum is σ = 14354178048. Its totient is φ = 8748907200.

The previous prime is 11334234323. The next prime is 11334234337. The reversal of 11334234331 is 13343243311.

11334234331 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 11334234331 - 23 = 11334234323 is a prime.

It is a super-2 number, since 2×113342343312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11334234331.

It is not an unprimeable number, because it can be changed into a prime (11334234337) 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 47 ways as a sum of consecutive naturals, for example, 11100601 + ... + 11101621.

It is an arithmetic number, because the mean of its divisors is an integer number (299045376).

Almost surely, 211334234331 is an apocalyptic number.

11334234331 is a deficient number, since it is larger than the sum of its proper divisors (3019943717).

11334234331 is a wasteful number, since it uses less digits than its factorization.

11334234331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1261 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

Adding to 11334234331 its reverse (13343243311), we get a palindrome (24677477642).

The spelling of 11334234331 in words is "eleven billion, three hundred thirty-four million, two hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 7 19 23 133 161 191 361 437 1021 1337 2527 3059 3629 4393 7147 8303 19399 23483 25403 30751 58121 68951 83467 135793 164381 195011 368581 446177 482657 584269 1365077 1585873 2580067 3123239 3705209 4485253 8477363 11101111 25936463 31396771 59341541 70398971 85219807 492792797 596538649 1619176333 11334234331