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1100431313 is a prime number
BaseRepresentation
bin100000110010111…
…0011111111010001
32211200122200222022
41001211303333101
54223202300223
6301110021225
736161340362
oct10145637721
92750580868
101100431313
1151518a373
12268647815
13146ca20b7
14a6211b69
156691dac8
hex41973fd1

1100431313 has 2 divisors, whose sum is σ = 1100431314. Its totient is φ = 1100431312.

The previous prime is 1100431289. The next prime is 1100431327. The reversal of 1100431313 is 3131340011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1100381584 + 49729 = 33172^2 + 223^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100431313 - 212 = 1100427217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100431291 and 1100431300.

It is not a weakly prime, because it can be changed into another prime (1100431363) 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, 550215656 + 550215657.

It is an arithmetic number, because the mean of its divisors is an integer number (550215657).

Almost surely, 21100431313 is an apocalyptic number.

It is an amenable number.

1100431313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100431313 is an equidigital number, since it uses as much as digits as its factorization.

1100431313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1100431313 is about 33172.7495544159. The cubic root of 1100431313 is about 1032.4150177756.

Adding to 1100431313 its reverse (3131340011), we get a palindrome (4231771324).

The spelling of 1100431313 in words is "one billion, one hundred million, four hundred thirty-one thousand, three hundred thirteen".