Search a number
-
+
331002130031 is a prime number
BaseRepresentation
bin1001101000100010100…
…00111010111001101111
31011122101002220102002022
410310101100322321233
520410343021130111
6412021004220355
732625353453156
oct4642120727157
91148332812068
10331002130031
11118417089471
1254197b3a6bb
13252a09c8551
14120406d059d
15892428a2db
hex4d1143ae6f

331002130031 has 2 divisors, whose sum is σ = 331002130032. Its totient is φ = 331002130030.

The previous prime is 331002130009. The next prime is 331002130051. The reversal of 331002130031 is 130031200133.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331002130031 is a prime.

It is a super-2 number, since 2×3310021300312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331002129991 and 331002130009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331002130051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165501065015 + 165501065016.

It is an arithmetic number, because the mean of its divisors is an integer number (165501065016).

Almost surely, 2331002130031 is an apocalyptic number.

331002130031 is a deficient number, since it is larger than the sum of its proper divisors (1).

331002130031 is an equidigital number, since it uses as much as digits as its factorization.

331002130031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 331002130031 its reverse (130031200133), we get a palindrome (461033330164).

The spelling of 331002130031 in words is "three hundred thirty-one billion, two million, one hundred thirty thousand, thirty-one".