Search a number
-
+
213113320001 is a prime number
BaseRepresentation
bin1100011001111010001…
…0110011001001000001
3202101002020022100202222
43012132202303021001
511442424002220001
6241523010020425
721253101221441
oct3063642631101
9671066270688
10213113320001
1182420a0564a
1235377277715
131713401941a
14a459908121
15582480c61b
hex319e8b3241

213113320001 has 2 divisors, whose sum is σ = 213113320002. Its totient is φ = 213113320000.

The previous prime is 213113319989. The next prime is 213113320087. The reversal of 213113320001 is 100023311312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205879987600 + 7233332401 = 453740^2 + 85049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213113320001 is a prime.

It is not a weakly prime, because it can be changed into another prime (213113320601) 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 as a sum of consecutive naturals, namely, 106556660000 + 106556660001.

It is an arithmetic number, because the mean of its divisors is an integer number (106556660001).

Almost surely, 2213113320001 is an apocalyptic number.

It is an amenable number.

213113320001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213113320001 is an equidigital number, since it uses as much as digits as its factorization.

213113320001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 213113320001 its reverse (100023311312), we get a palindrome (313136631313).

The spelling of 213113320001 in words is "two hundred thirteen billion, one hundred thirteen million, three hundred twenty thousand, one".