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331085905889 is a prime number
BaseRepresentation
bin1001101000101100100…
…00011111111111100001
31011122120221112122221212
410310112100133333201
520411030442442024
6412033155555505
732630421523514
oct4642620377741
91148527478855
10331085905889
1111845a3a9512
12541bbbbbb95
13252b517b46b
141204b89ad7b
15892b7d7a0e
hex4d1641ffe1

331085905889 has 2 divisors, whose sum is σ = 331085905890. Its totient is φ = 331085905888.

The previous prime is 331085905879. The next prime is 331085905949. The reversal of 331085905889 is 988509580133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 324461248225 + 6624657664 = 569615^2 + 81392^2 .

It is a cyclic number.

It is not a de Polignac number, because 331085905889 - 24 = 331085905873 is a prime.

It is a super-3 number, since 3×3310859058893 (a number of 36 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (331085905819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165542952944 + 165542952945.

It is an arithmetic number, because the mean of its divisors is an integer number (165542952945).

Almost surely, 2331085905889 is an apocalyptic number.

It is an amenable number.

331085905889 is a deficient number, since it is larger than the sum of its proper divisors (1).

331085905889 is an equidigital number, since it uses as much as digits as its factorization.

331085905889 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9331200, while the sum is 59.

The spelling of 331085905889 in words is "three hundred thirty-one billion, eighty-five million, nine hundred five thousand, eight hundred eighty-nine".