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330241131333 = 32263313935989
BaseRepresentation
bin1001100111000111110…
…01111100001101000101
31011120102001221200010100
410303203321330031011
520402313212200313
6411413301314313
732600453205111
oct4634371741505
91146361850110
10330241131333
11118066566923
1254005105999
13251ac14c769
1411dab5d8741
1588cc569173
hex4ce3e7c345

330241131333 has 12 divisors (see below), whose sum is σ = 477196169580. Its totient is φ = 220077122496.

The previous prime is 330241131331. The next prime is 330241131347. The reversal of 330241131333 is 333131142033.

330241131333 is a `hidden beast` number, since 3 + 302 + 4 + 11 + 313 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 167528127204 + 162713004129 = 409302^2 + 403377^2 .

It is not a de Polignac number, because 330241131333 - 21 = 330241131331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 330241131297 and 330241131306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330241131331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6944298 + ... + 6991691.

It is an arithmetic number, because the mean of its divisors is an integer number (39766347465).

Almost surely, 2330241131333 is an apocalyptic number.

It is an amenable number.

330241131333 is a deficient number, since it is larger than the sum of its proper divisors (146955038247).

330241131333 is a wasteful number, since it uses less digits than its factorization.

330241131333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13938628 (or 13938625 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 330241131333 its reverse (333131142033), we get a palindrome (663372273366).

The spelling of 330241131333 in words is "three hundred thirty billion, two hundred forty-one million, one hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 2633 7899 23697 13935989 41807967 125423901 36693459037 110080377111 330241131333