Search a number
-
+
331012033039 is a prime number
BaseRepresentation
bin1001101000100011101…
…10101100101000001111
31011122101210112112110101
410310101312230220033
520410403040024124
6412022000351531
732625533600002
oct4642166545017
91148353475411
10331012033039
11118421732776
125419b3155a7
13252a2a84c0c
1412041b4b539
158925094644
hex4d11daca0f

331012033039 has 2 divisors, whose sum is σ = 331012033040. Its totient is φ = 331012033038.

The previous prime is 331012033013. The next prime is 331012033043. The reversal of 331012033039 is 930330210133.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 331012033039 - 25 = 331012033007 is a prime.

It is a super-2 number, since 2×3310120330392 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331012032998 and 331012033016.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331012003039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165506016519 + 165506016520.

It is an arithmetic number, because the mean of its divisors is an integer number (165506016520).

Almost surely, 2331012033039 is an apocalyptic number.

331012033039 is a deficient number, since it is larger than the sum of its proper divisors (1).

331012033039 is an equidigital number, since it uses as much as digits as its factorization.

331012033039 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 28.

The spelling of 331012033039 in words is "three hundred thirty-one billion, twelve million, thirty-three thousand, thirty-nine".