Search a number
-
+
100213223333 is a prime number
BaseRepresentation
bin101110101010100101…
…1000110111110100101
3100120200000212012200012
41131111023012332211
53120214041121313
6114012021100005
710145243225606
oct1352513067645
9316600765605
10100213223333
113955582aa33
1217509257605
1395b0a467b2
144bc94c5dad
152917d06da8
hex17552c6fa5

100213223333 has 2 divisors, whose sum is σ = 100213223334. Its totient is φ = 100213223332.

The previous prime is 100213223309. The next prime is 100213223353. The reversal of 100213223333 is 333322312001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100208967364 + 4255969 = 316558^2 + 2063^2 .

It is a cyclic number.

It is not a de Polignac number, because 100213223333 - 210 = 100213222309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100213223299 and 100213223308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100213223353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106611666 + 50106611667.

It is an arithmetic number, because the mean of its divisors is an integer number (50106611667).

Almost surely, 2100213223333 is an apocalyptic number.

It is an amenable number.

100213223333 is a deficient number, since it is larger than the sum of its proper divisors (1).

100213223333 is an equidigital number, since it uses as much as digits as its factorization.

100213223333 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 23.

Adding to 100213223333 its reverse (333322312001), we get a palindrome (433535535334).

The spelling of 100213223333 in words is "one hundred billion, two hundred thirteen million, two hundred twenty-three thousand, three hundred thirty-three".