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103222210229 is a prime number
BaseRepresentation
bin110000000100010000…
…1011110111010110101
3100212102201210120201022
41200020201132322311
53142344341211404
6115230350110525
710312641211265
oct1401041367265
9325381716638
10103222210229
113a85a279366
1218008aab445
139970256708
144dd2d8b7a5
152a420738be
hex180885eeb5

103222210229 has 2 divisors, whose sum is σ = 103222210230. Its totient is φ = 103222210228.

The previous prime is 103222210219. The next prime is 103222210261. The reversal of 103222210229 is 922012222301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96282987025 + 6939223204 = 310295^2 + 83302^2 .

It is an emirp because it is prime and its reverse (922012222301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103222210229 - 24 = 103222210213 is a prime.

It is a super-3 number, since 3×1032222102293 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103222210198 and 103222210207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103222210219) 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, 51611105114 + 51611105115.

It is an arithmetic number, because the mean of its divisors is an integer number (51611105115).

Almost surely, 2103222210229 is an apocalyptic number.

It is an amenable number.

103222210229 is a deficient number, since it is larger than the sum of its proper divisors (1).

103222210229 is an equidigital number, since it uses as much as digits as its factorization.

103222210229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

The spelling of 103222210229 in words is "one hundred three billion, two hundred twenty-two million, two hundred ten thousand, two hundred twenty-nine".