Search a number
-
+
331031010031 is a prime number
BaseRepresentation
bin1001101000100101111…
…11000101101011101111
31011122110010020122222221
410310102333011223233
520410422414310111
6412023515220211
732626154105341
oct4642277055357
91148403218887
10331031010031
11118431414437
12541a5747667
13252a699a7c7
141204448b291
158926a92371
hex4d12fc5aef

331031010031 has 2 divisors, whose sum is σ = 331031010032. Its totient is φ = 331031010030.

The previous prime is 331031009963. The next prime is 331031010061. The reversal of 331031010031 is 130010130133.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 331031010031 - 219 = 331030485743 is a prime.

It is a super-2 number, since 2×3310310100312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331031009987 and 331031010014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331031010061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165515505015 + 165515505016.

It is an arithmetic number, because the mean of its divisors is an integer number (165515505016).

Almost surely, 2331031010031 is an apocalyptic number.

331031010031 is a deficient number, since it is larger than the sum of its proper divisors (1).

331031010031 is an equidigital number, since it uses as much as digits as its factorization.

331031010031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 331031010031 its reverse (130010130133), we get a palindrome (461041140164).

The spelling of 331031010031 in words is "three hundred thirty-one billion, thirty-one million, ten thousand, thirty-one".