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130143143013 = 31373137333667
BaseRepresentation
bin111100100110100100…
…0101100010001100101
3110102220220021122220220
41321031020230101211
54113013121034023
6135441551114553
712255032314632
oct1711510542145
9412826248826
10130143143013
1150214458644
1221280812a59
13c370742640
1464284cb189
1535ba6db3e3
hex1e4d22c465

130143143013 has 32 divisors (see below), whose sum is σ = 190815386496. Its totient is φ = 78414179328.

The previous prime is 130143142933. The next prime is 130143143063. The reversal of 130143143013 is 310341341031.

It is not a de Polignac number, because 130143143013 - 221 = 130141045861 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130143143063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223206 + ... + 556872.

It is an arithmetic number, because the mean of its divisors is an integer number (5962980828).

Almost surely, 2130143143013 is an apocalyptic number.

130143143013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130143143013 is a deficient number, since it is larger than the sum of its proper divisors (60672243483).

130143143013 is a wasteful number, since it uses less digits than its factorization.

130143143013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333893.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 130143143013 its reverse (310341341031), we get a palindrome (440484484044).

The spelling of 130143143013 in words is "one hundred thirty billion, one hundred forty-three million, one hundred forty-three thousand, thirteen".

Divisors: 1 3 13 39 73 137 219 411 949 1781 2847 5343 10001 30003 130013 333667 390039 1001001 4337671 13013013 24357691 45712379 73073073 137137137 316649983 594260927 949949949 1782782781 3337003667 10011011001 43381047671 130143143013