Search a number
-
+
331312301029 is a prime number
BaseRepresentation
bin1001101001000111100…
…00001000001111100101
31011200011201112201201001
410310203300020033211
520412011422113104
6412111444233301
732636141043613
oct4644360101745
91150151481631
10331312301029
1111856617a536
125426399b831
1325320047998
141206d9906b3
158941607aa4
hex4d23c083e5

331312301029 has 2 divisors, whose sum is σ = 331312301030. Its totient is φ = 331312301028.

The previous prime is 331312301009. The next prime is 331312301059. The reversal of 331312301029 is 920103213133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 331142702500 + 169598529 = 575450^2 + 13023^2 .

It is a cyclic number.

It is not a de Polignac number, because 331312301029 - 221 = 331310203877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331312300988 and 331312301006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331312301009) 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, 165656150514 + 165656150515.

It is an arithmetic number, because the mean of its divisors is an integer number (165656150515).

Almost surely, 2331312301029 is an apocalyptic number.

It is an amenable number.

331312301029 is a deficient number, since it is larger than the sum of its proper divisors (1).

331312301029 is an equidigital number, since it uses as much as digits as its factorization.

331312301029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

The spelling of 331312301029 in words is "three hundred thirty-one billion, three hundred twelve million, three hundred one thousand, twenty-nine".