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12923232921 = 3225729319069
BaseRepresentation
bin11000000100100100…
…01110001010011001
31020100122100020211100
430002102032022121
5202431321423141
65534205422013
7635151444624
oct140222161231
936318306740
1012923232921
115531912195
122607b6a909
1312ac503cb1
148a84a4dbb
1550983b0b6
hex30248e299

12923232921 has 24 divisors (see below), whose sum is σ = 18804469320. Its totient is φ = 8552226816.

The previous prime is 12923232877. The next prime is 12923232947.

12923232921 is a `hidden beast` number, since 1 + 292 + 323 + 29 + 21 = 666.

12923232921 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 12330992025 + 592240896 = 111045^2 + 24336^2 .

It is not a de Polignac number, because 12923232921 - 210 = 12923231897 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (12923232521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668175 + ... + 687243.

It is an arithmetic number, because the mean of its divisors is an integer number (783519555).

Almost surely, 212923232921 is an apocalyptic number.

It is an amenable number.

12923232921 is a deficient number, since it is larger than the sum of its proper divisors (5881236399).

12923232921 is a wasteful number, since it uses less digits than its factorization.

12923232921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19625 (or 19622 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The spelling of 12923232921 in words is "twelve billion, nine hundred twenty-three million, two hundred thirty-two thousand, nine hundred twenty-one".

Divisors: 1 3 9 257 293 771 879 2313 2637 19069 57207 75301 171621 225903 677709 4900733 5587217 14702199 16761651 44106597 50284953 1435914769 4307744307 12923232921