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212211000257 is a prime number
BaseRepresentation
bin1100010110100011000…
…0101110001111000001
3202021202100102202210012
43011220300232033001
511434102004002012
6241253254114305
721221533511564
oct3055060561701
9667670382705
10212211000257
1181aa8639453
123516504b995
131701c0bcc09
14a3b1b464db
1557c04c3622
hex3168c2e3c1

212211000257 has 2 divisors, whose sum is σ = 212211000258. Its totient is φ = 212211000256.

The previous prime is 212211000191. The next prime is 212211000269. The reversal of 212211000257 is 752000112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192250679296 + 19960320961 = 438464^2 + 141281^2 .

It is a cyclic number.

It is not a de Polignac number, because 212211000257 - 210 = 212210999233 is a prime.

It is not a weakly prime, because it can be changed into another prime (212211090257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106105500128 + 106105500129.

It is an arithmetic number, because the mean of its divisors is an integer number (106105500129).

Almost surely, 2212211000257 is an apocalyptic number.

It is an amenable number.

212211000257 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211000257 is an equidigital number, since it uses as much as digits as its factorization.

212211000257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 23.

Adding to 212211000257 its reverse (752000112212), we get a palindrome (964211112469).

The spelling of 212211000257 in words is "two hundred twelve billion, two hundred eleven million, two hundred fifty-seven", and thus it is an aban number.