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10122102229 is a prime number
BaseRepresentation
bin10010110110101001…
…10000010111010101
3222010102112001220011
421123110300113111
5131212224232404
64352223440221
7505556310061
oct113324602725
928112461804
1010122102229
114324732248
121b65a56071
13c5409c205
146c0468aa1
153e397b604
hex25b5305d5

10122102229 has 2 divisors, whose sum is σ = 10122102230. Its totient is φ = 10122102228.

The previous prime is 10122102217. The next prime is 10122102259. The reversal of 10122102229 is 92220122101.

10122102229 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9798030225 + 324072004 = 98985^2 + 18002^2 .

It is a cyclic number.

It is not a de Polignac number, because 10122102229 - 225 = 10088547797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122102259) 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, 5061051114 + 5061051115.

It is an arithmetic number, because the mean of its divisors is an integer number (5061051115).

Almost surely, 210122102229 is an apocalyptic number.

It is an amenable number.

10122102229 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122102229 is an equidigital number, since it uses as much as digits as its factorization.

10122102229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 10122102229 in words is "ten billion, one hundred twenty-two million, one hundred two thousand, two hundred twenty-nine".