Search a number
-
+
13130243331023 = 713376835709643
BaseRepresentation
bin1011111100010001111101…
…1111010101001111001111
31201111020110020022021022102
42333010133133111033033
53210111214243043043
643531541151105315
72523425445553550
oct277043737251717
951436406267272
1013130243331023
114202561068045
12158088bb1223b
1374323b0a8cb0
14335715952327
1517b833a636b8
hexbf11f7d53cf

13130243331023 has 32 divisors (see below), whose sum is σ = 16621367486976. Its totient is φ = 10093185387648.

The previous prime is 13130243331017. The next prime is 13130243331041. The reversal of 13130243331023 is 32013334203131.

It is a cyclic number.

It is not a de Polignac number, because 13130243331023 - 236 = 13061523854287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130243331223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 555161 + ... + 5154482.

It is an arithmetic number, because the mean of its divisors is an integer number (519417733968).

Almost surely, 213130243331023 is an apocalyptic number.

13130243331023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13130243331023 is a deficient number, since it is larger than the sum of its proper divisors (3491124155953).

13130243331023 is a wasteful number, since it uses less digits than its factorization.

13130243331023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710383.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 13130243331023 its reverse (32013334203131), we get a palindrome (45143577534154).

The spelling of 13130243331023 in words is "thirteen trillion, one hundred thirty billion, two hundred forty-three million, three hundred thirty-one thousand, twenty-three".

Divisors: 1 7 13 37 91 259 481 683 3367 4781 8879 25271 62153 176897 328523 2299661 5709643 39967501 74225359 211256791 519577513 1478797537 2746338283 3899686169 19224367981 27297803183 50695920197 144288388253 354871441379 1010018717771 1875749047289 13130243331023