Search a number
-
+
1000323300122 = 217222970110781
BaseRepresentation
bin11101000111001111110…
…10100011101100011010
310112122000020202202212122
432203213322203230122
5112342130231100442
62043313035541242
7132161641520666
oct16434772435432
93478006682778
101000323300122
11356264474083
12141a522ba822
137343a263ba3
14365b73638a6
151b049d28dd2
hexe8e7ea3b1a

1000323300122 has 48 divisors (see below), whose sum is σ = 1603333644120. Its totient is φ = 467972736000.

The previous prime is 1000323300121. The next prime is 1000323300199. The reversal of 1000323300122 is 2210033230001.

It can be written as a sum of positive squares in 12 ways, for example, as 745095249721 + 255228050401 = 863189^2 + 505201^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1000323300122.

It is not an unprimeable number, because it can be changed into a prime (1000323300121) 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 23 ways as a sum of consecutive naturals, for example, 92780372 + ... + 92791152.

Almost surely, 21000323300122 is an apocalyptic number.

1000323300122 is a deficient number, since it is larger than the sum of its proper divisors (603010343998).

1000323300122 is a wasteful number, since it uses less digits than its factorization.

1000323300122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11747 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1000323300122 its reverse (2210033230001), we get a palindrome (3210356530123).

The spelling of 1000323300122 in words is "one trillion, three hundred twenty-three million, three hundred thousand, one hundred twenty-two".

Divisors: 1 2 17 34 229 289 458 578 701 1402 3893 7786 10781 11917 21562 23834 66181 132362 160529 183277 202589 321058 366554 405178 2468849 2728993 3115709 4937698 5457986 6231418 7557481 15114962 41970433 46392881 83940866 92785762 128477177 256954354 713497361 1426994722 1730663149 2184112009 3461326298 4368224018 29421273533 58842547066 500161650061 1000323300122