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212021000017 is a prime number
BaseRepresentation
bin1100010101110101101…
…1111011011101010001
3202021021002220202110021
43011131123323131101
511433204334000032
6241222345503441
721214035523201
oct3053533733521
9667232822407
10212021000017
1181a10366462
12351114a1b81
1316cbb927338
14a394808401
1557ad992097
hex315d6fb751

212021000017 has 2 divisors, whose sum is σ = 212021000018. Its totient is φ = 212021000016.

The previous prime is 212020999999. The next prime is 212021000021. The reversal of 212021000017 is 710000120212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205103917456 + 6917082561 = 452884^2 + 83169^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212021000017 is a prime.

It is a super-3 number, since 3×2120210000173 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (212021000077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106010500008 + 106010500009.

It is an arithmetic number, because the mean of its divisors is an integer number (106010500009).

Almost surely, 2212021000017 is an apocalyptic number.

It is an amenable number.

212021000017 is a deficient number, since it is larger than the sum of its proper divisors (1).

212021000017 is an equidigital number, since it uses as much as digits as its factorization.

212021000017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 212021000017 its reverse (710000120212), we get a palindrome (922021120229).

The spelling of 212021000017 in words is "two hundred twelve billion, twenty-one million, seventeen", and thus it is an aban number.