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10821267221 is a prime number
BaseRepresentation
bin10100001001111111…
…10110111100010101
31000221011010022221212
422010333312330111
5134130221022341
64545441151205
7532106153012
oct120477667425
930834108855
1010821267221
114653361256
12212002b505
131035ba84cb
14749266709
154350365eb
hex284ff6f15

10821267221 has 2 divisors, whose sum is σ = 10821267222. Its totient is φ = 10821267220.

The previous prime is 10821267187. The next prime is 10821267269. The reversal of 10821267221 is 12276212801.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10171731025 + 649536196 = 100855^2 + 25486^2 .

It is an emirp because it is prime and its reverse (12276212801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10821267221 - 214 = 10821250837 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10821261221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5410633610 + 5410633611.

It is an arithmetic number, because the mean of its divisors is an integer number (5410633611).

Almost surely, 210821267221 is an apocalyptic number.

It is an amenable number.

10821267221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10821267221 is an equidigital number, since it uses as much as digits as its factorization.

10821267221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 10821267221 in words is "ten billion, eight hundred twenty-one million, two hundred sixty-seven thousand, two hundred twenty-one".