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330034121030401 = 5213929161227489
BaseRepresentation
bin100101100001010100000111…
…0100011000011101100000001
31121021112221202100101021122221
41023002220032203003230001
5321224234334440433101
63125531325423331041
7126342115120144114
oct11302501643035401
91537487670337587
10330034121030401
1196182759393757
12310229a7450a81
1311220112925788
145b6da4568857b
152824e28e42aa1
hex12c2a0e8c3b01

330034121030401 has 8 divisors (see below), whose sum is σ = 330751746635400. Its totient is φ = 329316817889280.

The previous prime is 330034121030371. The next prime is 330034121030473. The reversal of 330034121030401 is 104030121430033.

It can be written as a sum of positive squares in 4 ways, for example, as 61406970787600 + 268627150242801 = 7836260^2 + 16389849^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 330034121030401 - 213 = 330034121022209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330034121030701) 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 in 7 ways as a sum of consecutive naturals, for example, 78566736 + ... + 82660753.

It is an arithmetic number, because the mean of its divisors is an integer number (41343968329425).

Almost surely, 2330034121030401 is an apocalyptic number.

It is an amenable number.

330034121030401 is a deficient number, since it is larger than the sum of its proper divisors (717625604999).

330034121030401 is a wasteful number, since it uses less digits than its factorization.

330034121030401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161231939.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 330034121030401 its reverse (104030121430033), we get a palindrome (434064242460434).

The spelling of 330034121030401 in words is "three hundred thirty trillion, thirty-four billion, one hundred twenty-one million, thirty thousand, four hundred one".

Divisors: 1 521 3929 2047009 161227489 83999521769 633462804281 330034121030401