Search a number
-
+
213131000233 is a prime number
BaseRepresentation
bin1100011001111110011…
…0001111100110101001
3202101010110120121111101
43012133212033212221
511442443014001413
6241524441001401
721253404416344
oct3063746174651
9671113517441
10213131000233
118242a991008
1235381183261
13171378999b8
14a45bdcb45b
155826150edd
hex319f98f9a9

213131000233 has 2 divisors, whose sum is σ = 213131000234. Its totient is φ = 213131000232.

The previous prime is 213131000213. The next prime is 213131000281. The reversal of 213131000233 is 332000131312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 123560686144 + 89570314089 = 351512^2 + 299283^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213131000233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213131000233.

It is not a weakly prime, because it can be changed into another prime (213131000213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106565500116 + 106565500117.

It is an arithmetic number, because the mean of its divisors is an integer number (106565500117).

Almost surely, 2213131000233 is an apocalyptic number.

It is an amenable number.

213131000233 is a deficient number, since it is larger than the sum of its proper divisors (1).

213131000233 is an equidigital number, since it uses as much as digits as its factorization.

213131000233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 213131000233 its reverse (332000131312), we get a palindrome (545131131545).

The spelling of 213131000233 in words is "two hundred thirteen billion, one hundred thirty-one million, two hundred thirty-three", and thus it is an aban number.