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211212000221 is a prime number
BaseRepresentation
bin1100010010110100110…
…1110101101111011101
3202012011201122022100212
43010231031311233131
511430030233001341
6241010210102205
721155013244205
oct3045515655735
9665151568325
10211212000221
1181635738992
1234b2657a965
1316bc0142c31
14a3191b9405
15576293d5eb
hex312d375bdd

211212000221 has 2 divisors, whose sum is σ = 211212000222. Its totient is φ = 211212000220.

The previous prime is 211212000211. The next prime is 211212000271. The reversal of 211212000221 is 122000212112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210869232025 + 342768196 = 459205^2 + 18514^2 .

It is a cyclic number.

It is not a de Polignac number, because 211212000221 - 26 = 211212000157 is a prime.

It is a super-2 number, since 2×2112120002212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211212000196 and 211212000205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211212000211) 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, 105606000110 + 105606000111.

It is an arithmetic number, because the mean of its divisors is an integer number (105606000111).

Almost surely, 2211212000221 is an apocalyptic number.

It is an amenable number.

211212000221 is a deficient number, since it is larger than the sum of its proper divisors (1).

211212000221 is an equidigital number, since it uses as much as digits as its factorization.

211212000221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211212000221 its reverse (122000212112), we get a palindrome (333212212333).

The spelling of 211212000221 in words is "two hundred eleven billion, two hundred twelve million, two hundred twenty-one", and thus it is an aban number.