Search a number
-
+
100333201117 is a prime number
BaseRepresentation
bin101110101110001010…
…0110010011011011101
3100120222101121201020211
41131130110302123131
53120440244413432
6114031544412421
710151231065222
oct1353424623335
9316871551224
10100333201117
1139607527026
1217541477111
1395cc863576
144bdb3d7949
152923605d47
hex175c5326dd

100333201117 has 2 divisors, whose sum is σ = 100333201118. Its totient is φ = 100333201116.

The previous prime is 100333201109. The next prime is 100333201253. The reversal of 100333201117 is 711102333001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90137452441 + 10195748676 = 300229^2 + 100974^2 .

It is a cyclic number.

It is not a de Polignac number, because 100333201117 - 23 = 100333201109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100333201517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50166600558 + 50166600559.

It is an arithmetic number, because the mean of its divisors is an integer number (50166600559).

Almost surely, 2100333201117 is an apocalyptic number.

It is an amenable number.

100333201117 is a deficient number, since it is larger than the sum of its proper divisors (1).

100333201117 is an equidigital number, since it uses as much as digits as its factorization.

100333201117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

Adding to 100333201117 its reverse (711102333001), we get a palindrome (811435534118).

The spelling of 100333201117 in words is "one hundred billion, three hundred thirty-three million, two hundred one thousand, one hundred seventeen".