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331003031131 is a prime number
BaseRepresentation
bin1001101000100010101…
…00010110111001011011
31011122101011121012011101
410310101110112321123
520410343233444011
6412021035412231
732625364225243
oct4642124267133
91148334535141
10331003031131
11118417644483
12541982b4077
13252a0c52746
1412040886b23
1589243b72c1
hex4d11516e5b

331003031131 has 2 divisors, whose sum is σ = 331003031132. Its totient is φ = 331003031130.

The previous prime is 331003031111. The next prime is 331003031147. The reversal of 331003031131 is 131130300133.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 331003031131 - 221 = 331000933979 is a prime.

It is a super-2 number, since 2×3310030311312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331003031099 and 331003031108.

It is not a weakly prime, because it can be changed into another prime (331003031111) 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, 165501515565 + 165501515566.

It is an arithmetic number, because the mean of its divisors is an integer number (165501515566).

Almost surely, 2331003031131 is an apocalyptic number.

331003031131 is a deficient number, since it is larger than the sum of its proper divisors (1).

331003031131 is an equidigital number, since it uses as much as digits as its factorization.

331003031131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 331003031131 its reverse (131130300133), we get a palindrome (462133331264).

The spelling of 331003031131 in words is "three hundred thirty-one billion, three million, thirty-one thousand, one hundred thirty-one".