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1105306309 is a prime number
BaseRepresentation
bin100000111100001…
…1010001011000101
32212000211101012201
41001320122023011
54230424300214
6301402314501
736250643242
oct10170321305
92760741181
101105306309
11517a09a98
1226a1b8a31
13147cbb003
14a6b205c9
1567083274
hex41e1a2c5

1105306309 has 2 divisors, whose sum is σ = 1105306310. Its totient is φ = 1105306308.

The previous prime is 1105306231. The next prime is 1105306313. The reversal of 1105306309 is 9036035011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 853925284 + 251381025 = 29222^2 + 15855^2 .

It is an emirp because it is prime and its reverse (9036035011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1105306309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1105306369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 552653154 + 552653155.

It is an arithmetic number, because the mean of its divisors is an integer number (552653155).

Almost surely, 21105306309 is an apocalyptic number.

It is an amenable number.

1105306309 is a deficient number, since it is larger than the sum of its proper divisors (1).

1105306309 is an equidigital number, since it uses as much as digits as its factorization.

1105306309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 1105306309 is about 33246.1472805497. The cubic root of 1105306309 is about 1033.9373315081.

The spelling of 1105306309 in words is "one billion, one hundred five million, three hundred six thousand, three hundred nine".