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20130010132023 = 32112857679310477
BaseRepresentation
bin1001001001110111000100…
…00110100110111000110111
32122021102002000110111210200
410210323202012212320313
510114302230043211043
6110451333214251543
74145226262635441
oct444734206467067
978242060414720
1020130010132023
1164610a8a27540
1223113b77b6bb3
13b303372c523c
144d8424c03491
1524d963a4b7d3
hex124ee21a6e37

20130010132023 has 48 divisors (see below), whose sum is σ = 31738818767136. Its totient is φ = 12192776709120.

The previous prime is 20130010132007. The next prime is 20130010132049. The reversal of 20130010132023 is 32023101003102.

20130010132023 is a `hidden beast` number, since 20 + 1 + 300 + 1 + 0 + 1 + 320 + 23 = 666.

It is not a de Polignac number, because 20130010132023 - 24 = 20130010132007 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20130010131987 and 20130010132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130010132423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1921347261 + ... + 1921357737.

It is an arithmetic number, because the mean of its divisors is an integer number (661225390982).

Almost surely, 220130010132023 is an apocalyptic number.

20130010132023 is a deficient number, since it is larger than the sum of its proper divisors (11608808635113).

20130010132023 is a wasteful number, since it uses less digits than its factorization.

20130010132023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20144 (or 20141 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20130010132023 its reverse (32023101003102), we get a palindrome (52153111135125).

The spelling of 20130010132023 in words is "twenty trillion, one hundred thirty billion, ten million, one hundred thirty-two thousand, twenty-three".

Divisors: 1 3 9 11 33 99 2857 6793 8571 10477 20379 25713 31427 31431 61137 74723 94281 94293 115247 224169 282843 345741 672507 1037223 19407601 29932789 58222803 71170261 89798367 174668409 213483611 213510783 269395101 329260679 640450833 640532349 782872871 987782037 1921352499 2348618613 2963346111 7045855839 203333435677 610000307031 1830000921093 2236667792447 6710003377341 20130010132023