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331085905949 is a prime number
BaseRepresentation
bin1001101000101100100…
…00100000000000011101
31011122120221112200001002
410310112100200000131
520411030442442244
6412033200000045
732630421523631
oct4642620400035
91148527480032
10331085905949
1111845a3a9567
1254200000025
13252b517b4b6
141204b89adc1
15892b7d7a4e
hex4d1642001d

331085905949 has 2 divisors, whose sum is σ = 331085905950. Its totient is φ = 331085905948.

The previous prime is 331085905889. The next prime is 331085905957. The reversal of 331085905949 is 949509580133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 244646965924 + 86438940025 = 494618^2 + 294005^2 .

It is a cyclic number.

It is not a de Polignac number, because 331085905949 - 228 = 330817470493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331085905894 and 331085905903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331085905979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165542952974 + 165542952975.

It is an arithmetic number, because the mean of its divisors is an integer number (165542952975).

Almost surely, 2331085905949 is an apocalyptic number.

It is an amenable number.

331085905949 is a deficient number, since it is larger than the sum of its proper divisors (1).

331085905949 is an equidigital number, since it uses as much as digits as its factorization.

331085905949 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5248800, while the sum is 56.

The spelling of 331085905949 in words is "three hundred thirty-one billion, eighty-five million, nine hundred five thousand, nine hundred forty-nine".