Search a number
-
+
1100431616 = 284298561
BaseRepresentation
bin100000110010111…
…0100000100000000
32211200122201101112
41001211310010000
54223202302431
6301110022452
736161341304
oct10145640400
92750581345
101100431616
1151518a619
12268647a28
13146ca228b
14a6211d04
156691dc2b
hex41974100

1100431616 has 18 divisors (see below), whose sum is σ = 2196565182. Its totient is φ = 550215680.

The previous prime is 1100431613. The next prime is 1100431639. The reversal of 1100431616 is 6161340011.

It can be written as a sum of positive squares in only one way, i.e., 681001216 + 419430400 = 26096^2 + 20480^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1100431591 and 1100431600.

It is not an unprimeable number, because it can be changed into a prime (1100431613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2149025 + ... + 2149536.

It is an arithmetic number, because the mean of its divisors is an integer number (122031399).

Almost surely, 21100431616 is an apocalyptic number.

1100431616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1100431616 is a deficient number, since it is larger than the sum of its proper divisors (1096133566).

1100431616 is an frugal number, since it uses more digits than its factorization.

1100431616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298577 (or 4298563 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 1100431616 is about 33172.7541214172. The cubic root of 1100431616 is about 1032.4151125329.

Adding to 1100431616 its reverse (6161340011), we get a palindrome (7261771627).

The spelling of 1100431616 in words is "one billion, one hundred million, four hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 4298561 8597122 17194244 34388488 68776976 137553952 275107904 550215808 1100431616