Search a number
-
+
331301102131 is a prime number
BaseRepresentation
bin1001101001000110001…
…01011010001000110011
31011200010221110202201001
410310203011122020303
520412001040232011
6412110404222431
732635643622016
oct4644305321063
91150127422631
10331301102131
1111855a92064a
125426009aa17
132531a92650c
141206c2b737d
1589406447c1
hex4d2315a233

331301102131 has 2 divisors, whose sum is σ = 331301102132. Its totient is φ = 331301102130.

The previous prime is 331301102113. The next prime is 331301102183. The reversal of 331301102131 is 131201103133.

Together with previous prime (331301102113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 331301102131 - 217 = 331300971059 is a prime.

It is a super-2 number, since 2×3313011021312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331301102099 and 331301102108.

It is not a weakly prime, because it can be changed into another prime (331301100131) 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, 165650551065 + 165650551066.

It is an arithmetic number, because the mean of its divisors is an integer number (165650551066).

Almost surely, 2331301102131 is an apocalyptic number.

331301102131 is a deficient number, since it is larger than the sum of its proper divisors (1).

331301102131 is an equidigital number, since it uses as much as digits as its factorization.

331301102131 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 19.

Adding to 331301102131 its reverse (131201103133), we get a palindrome (462502205264).

The spelling of 331301102131 in words is "three hundred thirty-one billion, three hundred one million, one hundred two thousand, one hundred thirty-one".