Search a number
-
+
100203031109 is a prime number
BaseRepresentation
bin101110101010010010…
…0001110101001000101
3100120122022200101120102
41131110210032221011
53120203433443414
6114011014413445
710145060465636
oct1352444165105
9316568611512
10100203031109
113954aaa9405
1217505961285
1395ab8b85ac
144bc7dd188d
152916e91ede
hex175490ea45

100203031109 has 2 divisors, whose sum is σ = 100203031110. Its totient is φ = 100203031108.

The previous prime is 100203031043. The next prime is 100203031111. The reversal of 100203031109 is 901130302001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55239100900 + 44963930209 = 235030^2 + 212047^2 .

It is an emirp because it is prime and its reverse (901130302001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100203031109 - 216 = 100202965573 is a prime.

Together with 100203031111, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100203031169) 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, 50101515554 + 50101515555.

It is an arithmetic number, because the mean of its divisors is an integer number (50101515555).

Almost surely, 2100203031109 is an apocalyptic number.

It is an amenable number.

100203031109 is a deficient number, since it is larger than the sum of its proper divisors (1).

100203031109 is an equidigital number, since it uses as much as digits as its factorization.

100203031109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The spelling of 100203031109 in words is "one hundred billion, two hundred three million, thirty-one thousand, one hundred nine".