Search a number
-
+
101332213 is a prime number
BaseRepresentation
bin1100000101000…
…11010011110101
321001200012122221
412002203103311
5201420112323
614015522341
72340211123
oct602432365
9231605587
10101332213
1152221434
1229b293b1
1317cbbcb8
14d65a913
158d6955d
hex60a34f5

101332213 has 2 divisors, whose sum is σ = 101332214. Its totient is φ = 101332212.

The previous prime is 101332201. The next prime is 101332219. The reversal of 101332213 is 312233101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87179569 + 14152644 = 9337^2 + 3762^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101332213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101332219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50666106 + 50666107.

It is an arithmetic number, because the mean of its divisors is an integer number (50666107).

Almost surely, 2101332213 is an apocalyptic number.

It is an amenable number.

101332213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101332213 is an equidigital number, since it uses as much as digits as its factorization.

101332213 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 16.

The square root of 101332213 is about 10066.3902666249. The cubic root of 101332213 is about 466.2109923354.

Adding to 101332213 its reverse (312233101), we get a palindrome (413565314).

The spelling of 101332213 in words is "one hundred one million, three hundred thirty-two thousand, two hundred thirteen".