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51800102001 = 32293118116633
BaseRepresentation
bin110000001111100001…
…101101010001110001
311221201001000211100100
4300033201231101301
51322041311231001
635444023543013
73512440413354
oct601741552161
9157631024310
1051800102001
111aa7189735a
12a0578baa69
134b6699733b
14271583229b
15153291d586
hexc0f86d471

51800102001 has 24 divisors (see below), whose sum is σ = 75145824936. Its totient is φ = 34384331520.

The previous prime is 51800101999. The next prime is 51800102033. The reversal of 51800102001 is 10020100815.

It can be written as a sum of positive squares in 4 ways, for example, as 22284518400 + 29515583601 = 149280^2 + 171801^2 .

It is not a de Polignac number, because 51800102001 - 21 = 51800101999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51800102801) 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 23 ways as a sum of consecutive naturals, for example, 3105981 + ... + 3122613.

It is an arithmetic number, because the mean of its divisors is an integer number (3131076039).

Almost surely, 251800102001 is an apocalyptic number.

It is an amenable number.

51800102001 is a deficient number, since it is larger than the sum of its proper divisors (23345722935).

51800102001 is a wasteful number, since it uses less digits than its factorization.

51800102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18113 (or 18110 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 51800102001 its reverse (10020100815), we get a palindrome (61820202816).

The spelling of 51800102001 in words is "fifty-one billion, eight hundred million, one hundred two thousand, one".

Divisors: 1 3 9 293 879 1181 2637 3543 10629 16633 49899 149697 346033 1038099 3114297 4873469 14620407 19643573 43861221 58930719 176792157 5755566889 17266700667 51800102001