Search a number
-
+
21233013130213 is a prime number
BaseRepresentation
bin1001101001111101100100…
…01101001000001111100101
32210011212010012012101121121
410310332302031020033211
510240340202330131323
6113054151144413541
74321014600503653
oct464766215101745
983155105171547
1021233013130213
116846963406515
12246b1251772b1
13bb0359294601
1453597d053dd3
1526c4bce84a5d
hex134fb23483e5

21233013130213 has 2 divisors, whose sum is σ = 21233013130214. Its totient is φ = 21233013130212.

The previous prime is 21233013130193. The next prime is 21233013130253. The reversal of 21233013130213 is 31203131033212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20568465351009 + 664547779204 = 4535247^2 + 815198^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21233013130213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21233013130253) 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 as a sum of consecutive naturals, namely, 10616506565106 + 10616506565107.

It is an arithmetic number, because the mean of its divisors is an integer number (10616506565107).

Almost surely, 221233013130213 is an apocalyptic number.

It is an amenable number.

21233013130213 is a deficient number, since it is larger than the sum of its proper divisors (1).

21233013130213 is an equidigital number, since it uses as much as digits as its factorization.

21233013130213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 21233013130213 its reverse (31203131033212), we get a palindrome (52436144163425).

The spelling of 21233013130213 in words is "twenty-one trillion, two hundred thirty-three billion, thirteen million, one hundred thirty thousand, two hundred thirteen".