Search a number
-
+
331331102153 is a prime number
BaseRepresentation
bin1001101001001001101…
…11110110010111001001
31011200020000220220222222
410310210313312113021
520412031230232103
6412113355223425
732636456620442
oct4644467662711
91150200826888
10331331102153
11118575851057
125426a147b75
1325323bcb4cc
14120722862c9
1589430bd638
hex4d24df65c9

331331102153 has 2 divisors, whose sum is σ = 331331102154. Its totient is φ = 331331102152.

The previous prime is 331331102147. The next prime is 331331102171. The reversal of 331331102153 is 351201133133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244206953929 + 87124148224 = 494173^2 + 295168^2 .

It is an emirp because it is prime and its reverse (351201133133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331331102153 - 28 = 331331101897 is a prime.

It is not a weakly prime, because it can be changed into another prime (331331102173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165665551076 + 165665551077.

It is an arithmetic number, because the mean of its divisors is an integer number (165665551077).

Almost surely, 2331331102153 is an apocalyptic number.

It is an amenable number.

331331102153 is a deficient number, since it is larger than the sum of its proper divisors (1).

331331102153 is an equidigital number, since it uses as much as digits as its factorization.

331331102153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 26.

Adding to 331331102153 its reverse (351201133133), we get a palindrome (682532235286).

The spelling of 331331102153 in words is "three hundred thirty-one billion, three hundred thirty-one million, one hundred two thousand, one hundred fifty-three".