Search a number
-
+
13124530123245 = 3253496917120817
BaseRepresentation
bin1011111011111100101011…
…1101001011000111101101
31201110200201001220020121100
42332333022331023013231
53210013014202420440
643525154221153313
72523134043235242
oct276771275130755
951420631806540
1013124530123245
11420009a10a522
12157b7566bb839
1374283a565388
14335332c795c9
1517b5ec1cb230
hexbefcaf4b1ed

13124530123245 has 48 divisors (see below), whose sum is σ = 22817856625200. Its totient is φ = 6978625984512.

The previous prime is 13124530123217. The next prime is 13124530123267. The reversal of 13124530123245 is 54232103542131.

13124530123245 is a `hidden beast` number, since 1 + 3 + 1 + 24 + 5 + 301 + 2 + 324 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 862970397444 + 12261559725801 = 928962^2 + 3501651^2 .

It is not a de Polignac number, because 13124530123245 - 26 = 13124530123181 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108571077 + ... + 108691893.

It is an arithmetic number, because the mean of its divisors is an integer number (475372013025).

Almost surely, 213124530123245 is an apocalyptic number.

13124530123245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13124530123245 is a deficient number, since it is larger than the sum of its proper divisors (9693326501955).

13124530123245 is a wasteful number, since it uses less digits than its factorization.

13124530123245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128094 (or 128091 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 13124530123245 its reverse (54232103542131), we get a palindrome (67356633665376).

The spelling of 13124530123245 in words is "thirteen trillion, one hundred twenty-four billion, five hundred thirty million, one hundred twenty-three thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 45 349 1047 1745 3141 5235 6917 15705 20751 34585 62253 103755 120817 311265 362451 604085 1087353 1812255 2414033 5436765 7242099 12070165 21726297 36210495 42165133 108631485 126495399 210825665 379486197 632476995 835691189 1897430985 2507073567 4178455945 7521220701 12535367835 37606103505 291656224961 874968674883 1458281124805 2624906024649 4374843374415 13124530123245