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213033737681 is a prime number
BaseRepresentation
bin1100011001100111001…
…1001101110111010001
3202100212200120011100122
43012121303031313101
511442243114101211
6241511044200025
721251113615142
oct3063163156721
9670780504318
10213033737681
118238aa9a236
1235354699015
13171206a41ab
14a44d10dac9
15581c83c6db
hex3199ccddd1

213033737681 has 2 divisors, whose sum is σ = 213033737682. Its totient is φ = 213033737680.

The previous prime is 213033737641. The next prime is 213033737701. The reversal of 213033737681 is 186737330312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190318425025 + 22715312656 = 436255^2 + 150716^2 .

It is a cyclic number.

It is not a de Polignac number, because 213033737681 - 226 = 212966628817 is a prime.

It is a super-2 number, since 2×2130337376812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213033737611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106516868840 + 106516868841.

It is an arithmetic number, because the mean of its divisors is an integer number (106516868841).

Almost surely, 2213033737681 is an apocalyptic number.

It is an amenable number.

213033737681 is a deficient number, since it is larger than the sum of its proper divisors (1).

213033737681 is an equidigital number, since it uses as much as digits as its factorization.

213033737681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 381024, while the sum is 44.

The spelling of 213033737681 in words is "two hundred thirteen billion, thirty-three million, seven hundred thirty-seven thousand, six hundred eighty-one".