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106512210221 is a prime number
BaseRepresentation
bin110001100110010011…
…1110101100100101101
3101011221000111220020212
41203030213311210231
53221114111211341
6120533034152205
710460320564064
oct1431447654455
9334830456225
10106512210221
114119840301a
1218786882665
13a075a47181
145225cc31db
152b85ced5eb
hex18cc9f592d

106512210221 has 2 divisors, whose sum is σ = 106512210222. Its totient is φ = 106512210220.

The previous prime is 106512210121. The next prime is 106512210247. The reversal of 106512210221 is 122012215601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80875396996 + 25636813225 = 284386^2 + 160115^2 .

It is a cyclic number.

It is not a de Polignac number, because 106512210221 - 218 = 106511948077 is a prime.

It is a super-2 number, since 2×1065122102212 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106512210251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53256105110 + 53256105111.

It is an arithmetic number, because the mean of its divisors is an integer number (53256105111).

Almost surely, 2106512210221 is an apocalyptic number.

It is an amenable number.

106512210221 is a deficient number, since it is larger than the sum of its proper divisors (1).

106512210221 is an equidigital number, since it uses as much as digits as its factorization.

106512210221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 106512210221 its reverse (122012215601), we get a palindrome (228524425822).

The spelling of 106512210221 in words is "one hundred six billion, five hundred twelve million, two hundred ten thousand, two hundred twenty-one".