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331002101041 is a prime number
BaseRepresentation
bin1001101000100010100…
…00110011110100110001
31011122101002211221022121
410310101100303310301
520410343014213131
6412021003434241
732625353302513
oct4642120636461
91148332757277
10331002101041
11118417069707
1254197b25981
13252a09b82b1
14120406c3bb3
158924281911
hex4d11433d31

331002101041 has 2 divisors, whose sum is σ = 331002101042. Its totient is φ = 331002101040.

The previous prime is 331002100969. The next prime is 331002101081. The reversal of 331002101041 is 140101200133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198866943025 + 132135158016 = 445945^2 + 363504^2 .

It is an emirp because it is prime and its reverse (140101200133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331002101041 - 211 = 331002098993 is a prime.

It is not a weakly prime, because it can be changed into another prime (331002101081) 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, 165501050520 + 165501050521.

It is an arithmetic number, because the mean of its divisors is an integer number (165501050521).

Almost surely, 2331002101041 is an apocalyptic number.

It is an amenable number.

331002101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

331002101041 is an equidigital number, since it uses as much as digits as its factorization.

331002101041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 331002101041 its reverse (140101200133), we get a palindrome (471103301174).

The spelling of 331002101041 in words is "three hundred thirty-one billion, two million, one hundred one thousand, forty-one".