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330012312013 = 2924147218817
BaseRepresentation
bin1001100110101100100…
…01000100000111001101
31011112211010101110000201
410303112101010013031
520401331122441023
6411334445053501
732562004240306
oct4632621040715
91145733343021
10330012312013
11117a5938a54a
1253b60557291
1325173914a07
1411d890737ad
1588b741abad
hex4cd64441cd

330012312013 has 8 divisors (see below), whose sum is σ = 342808618680. Its totient is φ = 317310443520.

The previous prime is 330012312011. The next prime is 330012312023. The reversal of 330012312013 is 310213210033.

It can be written as a sum of positive squares in 4 ways, for example, as 72255052809 + 257757259204 = 268803^2 + 507698^2 .

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 330012312013 - 21 = 330012312011 is a prime.

It is a super-2 number, since 2×3300123120132 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330012312011) 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 in 7 ways as a sum of consecutive naturals, for example, 23602420 + ... + 23616397.

It is an arithmetic number, because the mean of its divisors is an integer number (42851077335).

Almost surely, 2330012312013 is an apocalyptic number.

It is an amenable number.

330012312013 is a deficient number, since it is larger than the sum of its proper divisors (12796306667).

330012312013 is a wasteful number, since it uses less digits than its factorization.

330012312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47219087.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 330012312013 its reverse (310213210033), we get a palindrome (640225522046).

The spelling of 330012312013 in words is "three hundred thirty billion, twelve million, three hundred twelve thousand, thirteen".

Divisors: 1 29 241 6989 47218817 1369345693 11379734897 330012312013