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1102166017 is a prime number
BaseRepresentation
bin100000110110001…
…1011100000000001
32211210220211112121
41001230123200001
54224123303032
6301211124241
736212154001
oct10154334001
92753824477
101102166017
11516164707
12269143681
1314745b854
14a6544001
1566b62a97
hex41b1b801

1102166017 has 2 divisors, whose sum is σ = 1102166018. Its totient is φ = 1102166016.

The previous prime is 1102165993. The next prime is 1102166029. The reversal of 1102166017 is 7106612011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 923916816 + 178249201 = 30396^2 + 13351^2 .

It is an emirp because it is prime and its reverse (7106612011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1102166017 - 211 = 1102163969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1102165982 and 1102166000.

It is not a weakly prime, because it can be changed into another prime (1102166057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551083008 + 551083009.

It is an arithmetic number, because the mean of its divisors is an integer number (551083009).

Almost surely, 21102166017 is an apocalyptic number.

It is an amenable number.

1102166017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102166017 is an equidigital number, since it uses as much as digits as its factorization.

1102166017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

The square root of 1102166017 is about 33198.8857794957. The cubic root of 1102166017 is about 1032.9572276635.

Adding to 1102166017 its reverse (7106612011), we get a palindrome (8208778028).

The spelling of 1102166017 in words is "one billion, one hundred two million, one hundred sixty-six thousand, seventeen".