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106312229 is a prime number
BaseRepresentation
bin1100101011000…
…11001000100101
321102001012221222
412111203020211
5204203442404
614314350125
72430432122
oct625431045
9242035858
10106312229
1155012a51
122b72b345
131904395a
1410195749
1594eedbe
hex6563225

106312229 has 2 divisors, whose sum is σ = 106312230. Its totient is φ = 106312228.

The previous prime is 106312189. The next prime is 106312243. The reversal of 106312229 is 922213601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106296100 + 16129 = 10310^2 + 127^2 .

It is a cyclic number.

It is not a de Polignac number, because 106312229 - 212 = 106308133 is a prime.

It is a super-2 number, since 2×1063122292 = 22604580069896882, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106312198 and 106312207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106312249) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53156114 + 53156115.

It is an arithmetic number, because the mean of its divisors is an integer number (53156115).

Almost surely, 2106312229 is an apocalyptic number.

It is an amenable number.

106312229 is a deficient number, since it is larger than the sum of its proper divisors (1).

106312229 is an equidigital number, since it uses as much as digits as its factorization.

106312229 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 106312229 is about 10310.7821720760. The cubic root of 106312229 is about 473.7265672999.

The spelling of 106312229 in words is "one hundred six million, three hundred twelve thousand, two hundred twenty-nine".