Search a number
-
+
1100313113 is a prime number
BaseRepresentation
bin100000110010101…
…0111001000011001
32211200102200211112
41001211113020121
54223140004423
6301103310105
736160335644
oct10145271031
92750380745
101100313113
11515109589
122685ab335
13146c60363
14a61c0a5b
15668e8a78
hex41957219

1100313113 has 2 divisors, whose sum is σ = 1100313114. Its totient is φ = 1100313112.

The previous prime is 1100313091. The next prime is 1100313119. The reversal of 1100313113 is 3113130011.

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., 1031887129 + 68425984 = 32123^2 + 8272^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100313113 - 212 = 1100309017 is a prime.

It is not a weakly prime, because it can be changed into another prime (1100313119) 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, 550156556 + 550156557.

It is an arithmetic number, because the mean of its divisors is an integer number (550156557).

Almost surely, 21100313113 is an apocalyptic number.

It is an amenable number.

1100313113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100313113 is an equidigital number, since it uses as much as digits as its factorization.

1100313113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1100313113 is about 33170.9679237733. The cubic root of 1100313113 is about 1032.3780517172.

Adding to 1100313113 its reverse (3113130011), we get a palindrome (4213443124).

The spelling of 1100313113 in words is "one billion, one hundred million, three hundred thirteen thousand, one hundred thirteen".