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13146965130 = 23513171982951
BaseRepresentation
bin11000011111001111…
…01100010010001010
31020221020100000201110
430033213230102022
5203411110341010
610012321031150
7643536234255
oct141747542212
936836300643
1013146965130
115637134542
12266aa854b6
13131697a410
148ca0a409c
1551e2d2120
hex30f9ec48a

13146965130 has 64 divisors (see below), whose sum is σ = 35978681088. Its totient is φ = 3045811200.

The previous prime is 13146965123. The next prime is 13146965173. The reversal of 13146965130 is 3156964131.

13146965130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is an unprimeable number.

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, 984846 + ... + 998105.

It is an arithmetic number, because the mean of its divisors is an integer number (562166892).

Almost surely, 213146965130 is an apocalyptic number.

13146965130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13146965130 is an abundant number, since it is smaller than the sum of its proper divisors (22831715958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13146965130 is a wasteful number, since it uses less digits than its factorization.

13146965130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982991.

The product of its (nonzero) digits is 58320, while the sum is 39.

Subtracting from 13146965130 its reverse (3156964131), we obtain a palindrome (9990000999).

The spelling of 13146965130 in words is "thirteen billion, one hundred forty-six million, nine hundred sixty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 195 221 255 390 442 510 663 1105 1326 2210 3315 6630 1982951 3965902 5948853 9914755 11897706 19829510 25778363 29744265 33710167 51556726 59488530 67420334 77335089 101130501 128891815 154670178 168550835 202261002 257783630 337101670 386675445 438232171 505652505 773350890 876464342 1011305010 1314696513 2191160855 2629393026 4382321710 6573482565 13146965130