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13201145163 = 3247239130579
BaseRepresentation
bin11000100101101100…
…10111110101001011
31021002000021122202100
430102312113311023
5204013443121123
610021534204443
7645064611453
oct142266276513
937060248670
1013201145163
11566477a828
122685053723
131324c6a2cb
148d3368d63
15523e35643
hex312d97d4b

13201145163 has 24 divisors (see below), whose sum is σ = 19555660800. Its totient is φ = 8577407664.

The previous prime is 13201145161. The next prime is 13201145171. The reversal of 13201145163 is 36154110231.

It is a happy number.

13201145163 is a `hidden beast` number, since 1 + 3 + 201 + 1 + 451 + 6 + 3 = 666.

It is not a de Polignac number, because 13201145163 - 21 = 13201145161 is a prime.

It is a super-2 number, since 2×132011451632 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13201145161) 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 23 ways as a sum of consecutive naturals, for example, 35808 + ... + 166386.

It is an arithmetic number, because the mean of its divisors is an integer number (814819200).

Almost surely, 213201145163 is an apocalyptic number.

13201145163 is a deficient number, since it is larger than the sum of its proper divisors (6354515637).

13201145163 is a wasteful number, since it uses less digits than its factorization.

13201145163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130871 (or 130868 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 13201145163 its reverse (36154110231), we get a palindrome (49355255394).

The spelling of 13201145163 in words is "thirteen billion, two hundred one million, one hundred forty-five thousand, one hundred sixty-three".

Divisors: 1 3 9 47 141 239 423 717 2151 11233 33699 101097 130579 391737 1175211 6137213 18411639 31208381 55234917 93625143 280875429 1466793907 4400381721 13201145163