Search a number
-
+
12800213 = 23224197
BaseRepresentation
bin110000110101…
…000011010101
3220002022120222
4300311003111
511234101323
61134204125
7213541256
oct60650325
926068528
1012800213
117252a98
124353645
1328622ba
1419b2b2d
1511cc9c8
hexc350d5

12800213 has 6 divisors (see below), whose sum is σ = 13381494. Its totient is φ = 12243176.

The previous prime is 12800209. The next prime is 12800237. The reversal of 12800213 is 31200821.

It can be written as a sum of positive squares in only one way, i.e., 9498724 + 3301489 = 3082^2 + 1817^2 .

It is not a de Polignac number, because 12800213 - 22 = 12800209 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12800191 and 12800200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12802213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11570 + ... + 12627.

It is an arithmetic number, because the mean of its divisors is an integer number (2230249).

Almost surely, 212800213 is an apocalyptic number.

It is an amenable number.

12800213 is a deficient number, since it is larger than the sum of its proper divisors (581281).

12800213 is an equidigital number, since it uses as much as digits as its factorization.

12800213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24243 (or 24220 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 12800213 is about 3577.7385315308. The cubic root of 12800213 is about 233.9227165827.

The spelling of 12800213 in words is "twelve million, eight hundred thousand, two hundred thirteen".

Divisors: 1 23 529 24197 556531 12800213