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130114323313 = 13711009313967
BaseRepresentation
bin111100100101101101…
…0110000001101110001
3110102211220001110201121
41321023122300031301
54112433231321223
6135435041302241
712254232333322
oct1711332601561
9412756043647
10130114323313
11501aa163a07
1221273034981
13c367791970
146424748449
1535b7de715d
hex1e4b6b0371

130114323313 has 16 divisors (see below), whose sum is σ = 142120935936. Its totient is φ = 118393692480.

The previous prime is 130114323307. The next prime is 130114323389. The reversal of 130114323313 is 313323411031.

It is a cyclic number.

It is not a de Polignac number, because 130114323313 - 25 = 130114323281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130114323613) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9308856 + ... + 9322822.

It is an arithmetic number, because the mean of its divisors is an integer number (8882558496).

Almost surely, 2130114323313 is an apocalyptic number.

130114323313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130114323313 is a deficient number, since it is larger than the sum of its proper divisors (12006612623).

130114323313 is a wasteful number, since it uses less digits than its factorization.

130114323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24144.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 130114323313 its reverse (313323411031), we get a palindrome (443437734344).

The spelling of 130114323313 in words is "one hundred thirty billion, one hundred fourteen million, three hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 13 71 923 10093 13967 131209 181571 716603 991657 9315839 12891541 140968931 1832596103 10008794101 130114323313