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103222181533 is a prime number
BaseRepresentation
bin110000000100010000…
…1010111111010011101
3100212102201202010100111
41200020201113322131
53142344334302113
6115230345330021
710312641031522
oct1401041277235
9325381663314
10103222181533
113a85a259849
1218008a96911
139970246633
144dd2d81149
152a4206a13d
hex1808857e9d

103222181533 has 2 divisors, whose sum is σ = 103222181534. Its totient is φ = 103222181532.

The previous prime is 103222181431. The next prime is 103222181549. The reversal of 103222181533 is 335181222301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74899647684 + 28322533849 = 273678^2 + 168293^2 .

It is an emirp because it is prime and its reverse (335181222301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103222181533 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103222181495 and 103222181504.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103222181333) 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, 51611090766 + 51611090767.

It is an arithmetic number, because the mean of its divisors is an integer number (51611090767).

Almost surely, 2103222181533 is an apocalyptic number.

It is an amenable number.

103222181533 is a deficient number, since it is larger than the sum of its proper divisors (1).

103222181533 is an equidigital number, since it uses as much as digits as its factorization.

103222181533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 103222181533 in words is "one hundred three billion, two hundred twenty-two million, one hundred eighty-one thousand, five hundred thirty-three".