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212033020313 is a prime number
BaseRepresentation
bin1100010101111000100…
…1110010000110011001
3202021021221112110012102
43011132021302012121
511433220423122223
6241223455253145
721214242635612
oct3053611620631
9667257473172
10212033020313
1181a17126494
123511551a1b5
1316cc127563a
14a396256c09
1557aea68928
hex315e272199

212033020313 has 2 divisors, whose sum is σ = 212033020314. Its totient is φ = 212033020312.

The previous prime is 212033020271. The next prime is 212033020351. The reversal of 212033020313 is 313020330212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 191351128969 + 20681891344 = 437437^2 + 143812^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212033020313 is a prime.

It is a super-3 number, since 3×2120330203133 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (212033023313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106016510156 + 106016510157.

It is an arithmetic number, because the mean of its divisors is an integer number (106016510157).

Almost surely, 2212033020313 is an apocalyptic number.

It is an amenable number.

212033020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212033020313 is an equidigital number, since it uses as much as digits as its factorization.

212033020313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 212033020313 its reverse (313020330212), we get a palindrome (525053350525).

The spelling of 212033020313 in words is "two hundred twelve billion, thirty-three million, twenty thousand, three hundred thirteen".