Search a number
-
+
100233300221 is a prime number
BaseRepresentation
bin101110101011001011…
…1101100100011111101
3100120201102122012222122
41131112113230203331
53120234211101341
6114014015252325
710145605665035
oct1352627544375
9316642565878
10100233300221
11395660a2aaa
1217513b1a0a5
1395b4c55c02
144bcc0308c5
15291997094b
hex17565ec8fd

100233300221 has 2 divisors, whose sum is σ = 100233300222. Its totient is φ = 100233300220.

The previous prime is 100233300191. The next prime is 100233300227. The reversal of 100233300221 is 122003332001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81150916900 + 19082383321 = 284870^2 + 138139^2 .

It is an emirp because it is prime and its reverse (122003332001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100233300221 - 26 = 100233300157 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100233300221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100233300227) 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, 50116650110 + 50116650111.

It is an arithmetic number, because the mean of its divisors is an integer number (50116650111).

Almost surely, 2100233300221 is an apocalyptic number.

It is an amenable number.

100233300221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100233300221 is an equidigital number, since it uses as much as digits as its factorization.

100233300221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100233300221 its reverse (122003332001), we get a palindrome (222236632222).

The spelling of 100233300221 in words is "one hundred billion, two hundred thirty-three million, three hundred thousand, two hundred twenty-one".