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10065431385 = 34531801707
BaseRepresentation
bin10010101111111001…
…00100101101011001
3221222110212220010000
421113330210231121
5131103222301020
64342441043213
7504300520002
oct112774445531
927873786100
1010065431385
1142a5745639
121b4aa86509
13c45419679
146b6b161a9
153dd9d5090
hex257f24b59

10065431385 has 40 divisors (see below), whose sum is σ = 18625280256. Its totient is φ = 5195054880.

The previous prime is 10065431381. The next prime is 10065431423. The reversal of 10065431385 is 58313456001.

10065431385 is a `hidden beast` number, since 100 + 6 + 543 + 1 + 3 + 8 + 5 = 666.

It is not a de Polignac number, because 10065431385 - 22 = 10065431381 is a prime.

It is a super-2 number, since 2×100654313852 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10065431381) 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 39 ways as a sum of consecutive naturals, for example, 388299 + ... + 413408.

Almost surely, 210065431385 is an apocalyptic number.

10065431385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10065431385 is a deficient number, since it is larger than the sum of its proper divisors (8559848871).

10065431385 is an equidigital number, since it uses as much as digits as its factorization.

10065431385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801755 (or 801746 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 10065431385 its reverse (58313456001), we get a palindrome (68378887386).

The spelling of 10065431385 in words is "ten billion, sixty-five million, four hundred thirty-one thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 31 45 81 93 135 155 279 405 465 837 1395 2511 4185 12555 801707 2405121 4008535 7215363 12025605 21646089 24852917 36076815 64938267 74558751 108230445 124264585 223676253 324691335 372793755 671028759 1118381265 2013086277 3355143795 10065431385