Search a number
-
+
13230432244305 = 3252324153041603
BaseRepresentation
bin1100000010000111001100…
…1101101101001001010001
31201211211001120102101212100
43000201303031231021101
53213231411123304210
644045550543151013
72533603305352623
oct300416315551121
951754046371770
1013230432244305
114240aa40a3521
121598190ba5469
1374c816a90633
1433a4dbb0ac13
1517e2496675c0
hexc087336d251

13230432244305 has 48 divisors (see below), whose sum is σ = 24029119610496. Its totient is φ = 6721431805440.

The previous prime is 13230432244261. The next prime is 13230432244361. The reversal of 13230432244305 is 50344223403231.

13230432244305 is a `hidden beast` number, since 1 + 3 + 2 + 304 + 3 + 2 + 2 + 44 + 305 = 666.

It is not a de Polignac number, because 13230432244305 - 217 = 13230432113233 is a prime.

It is a super-3 number, since 3×132304322443053 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 13230432244305.

It is an unprimeable number.

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, 26271367 + ... + 26770236.

It is an arithmetic number, because the mean of its divisors is an integer number (500606658552).

Almost surely, 213230432244305 is an apocalyptic number.

13230432244305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13230432244305 is a deficient number, since it is larger than the sum of its proper divisors (10798687366191).

13230432244305 is a wasteful number, since it uses less digits than its factorization.

13230432244305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53041878 (or 53041875 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 13230432244305 its reverse (50344223403231), we get a palindrome (63574655647536).

The spelling of 13230432244305 in words is "thirteen trillion, two hundred thirty billion, four hundred thirty-two million, two hundred forty-four thousand, three hundred five".

Divisors: 1 3 5 9 15 23 45 69 115 207 241 345 723 1035 1205 2169 3615 5543 10845 16629 27715 49887 83145 249435 53041603 159124809 265208015 477374427 795624045 1219956869 2386872135 3659870607 6099784345 10979611821 12783026323 18299353035 38349078969 54898059105 63915131615 115047236907 191745394845 294009605429 575236184535 882028816287 1470048027145 2646086448861 4410144081435 13230432244305