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3212330013 = 321720995621
BaseRepresentation
bin1011111101111000…
…0100010000011101
322021212120021100200
42333132010100131
523034324030023
61250431214113
7142414232424
oct27736042035
98255507320
103212330013
1113a93050a2
12757977339
133c2697ab9
142268b82bb
1513c036743
hexbf78441d

3212330013 has 12 divisors (see below), whose sum is σ = 4912975548. Its totient is φ = 2015579520.

The previous prime is 3212329997. The next prime is 3212330041. The reversal of 3212330013 is 3100332123.

3212330013 is a `hidden beast` number, since 321 + 2 + 330 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2734557849 + 477772164 = 52293^2 + 21858^2 .

It is not a de Polignac number, because 3212330013 - 24 = 3212329997 is a prime.

It is a super-2 number, since 2×32123300132 = 20638128224841160338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212370013) 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 11 ways as a sum of consecutive naturals, for example, 10497658 + ... + 10497963.

It is an arithmetic number, because the mean of its divisors is an integer number (409414629).

Almost surely, 23212330013 is an apocalyptic number.

It is an amenable number.

3212330013 is a deficient number, since it is larger than the sum of its proper divisors (1700645535).

3212330013 is a wasteful number, since it uses less digits than its factorization.

3212330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20995644 (or 20995641 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3212330013 is about 56677.4206629060. The cubic root of 3212330013 is about 1475.5028469198.

Adding to 3212330013 its reverse (3100332123), we get a palindrome (6312662136).

The spelling of 3212330013 in words is "three billion, two hundred twelve million, three hundred thirty thousand, thirteen".

Divisors: 1 3 9 17 51 153 20995621 62986863 188960589 356925557 1070776671 3212330013