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11331312332004 = 2232744965525127
BaseRepresentation
bin1010010011100100011011…
…0110001010110011100100
31111010021002122020222111200
42210321012312022303210
52441123011424111004
640033311044402500
72246442324426450
oct244710666126344
944107078228450
1011331312332004
11367964544a745
1213301016a6430
136426cc47cb62
142b261d133660
15149b47cbb239
hexa4e46d8ace4

11331312332004 has 36 divisors (see below), whose sum is σ = 32734902293184. Its totient is φ = 3237517809072.

The previous prime is 11331312332003. The next prime is 11331312332027. The reversal of 11331312332004 is 40023321313311.

11331312332004 is a `hidden beast` number, since 1 + 1 + 3 + 313 + 1 + 23 + 320 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (11331312332003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22482762312 + ... + 22482762815.

Almost surely, 211331312332004 is an apocalyptic number.

11331312332004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11331312332004 is an abundant number, since it is smaller than the sum of its proper divisors (21403589961180).

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

11331312332004 is a wasteful number, since it uses less digits than its factorization.

11331312332004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44965525144 (or 44965525139 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11331312332004 its reverse (40023321313311), we get a palindrome (51354633645315).

The spelling of 11331312332004 in words is "eleven trillion, three hundred thirty-one billion, three hundred twelve million, three hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 44965525127 89931050254 134896575381 179862100508 269793150762 314758675889 404689726143 539586301524 629517351778 809379452286 944276027667 1259034703556 1618758904572 1888552055334 2832828083001 3777104110668 5665656166002 11331312332004