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433143121313 = 7226932861173
BaseRepresentation
bin1100100110110010101…
…01111000010110100001
31112102000111012101020102
412103121111320112201
524044034114340223
6530552212152145
743202455532600
oct6233125702641
91472014171212
10433143121313
11157770aaaa51
126bb42908655
1331acac48926
1416d6dc2ba37
15b401437928
hex64d95785a1

433143121313 has 12 divisors (see below), whose sum is σ = 505733467860. Its totient is φ = 369885352032.

The previous prime is 433143121273. The next prime is 433143121321. The reversal of 433143121313 is 313121341334.

It can be written as a sum of positive squares in 2 ways, for example, as 241914455104 + 191228666209 = 491848^2 + 437297^2 .

It is not a de Polignac number, because 433143121313 - 236 = 364423644577 is a prime.

It is a super-2 number, since 2×4331431213132 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (433143124313) 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 11 ways as a sum of consecutive naturals, for example, 16417406 + ... + 16443767.

It is an arithmetic number, because the mean of its divisors is an integer number (42144455655).

Almost surely, 2433143121313 is an apocalyptic number.

It is an amenable number.

433143121313 is a deficient number, since it is larger than the sum of its proper divisors (72590346547).

433143121313 is a wasteful number, since it uses less digits than its factorization.

433143121313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32861456 (or 32861449 counting only the distinct ones).

The product of its digits is 7776, while the sum is 29.

Adding to 433143121313 its reverse (313121341334), we get a palindrome (746264462647).

The spelling of 433143121313 in words is "four hundred thirty-three billion, one hundred forty-three million, one hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 7 49 269 1883 13181 32861173 230028211 1610197477 8839655537 61877588759 433143121313