Search a number
-
+
1112203313 = 13376533541
BaseRepresentation
bin100001001001010…
…1110000000110001
32212111210210010022
41002102232000301
54234211001223
6302210213225
736363400154
oct10222560061
92774723108
101112203313
1152089a8a1
12270584215
13149564390
14a79d7c9b
1567996ac8
hex424ae031

1112203313 has 16 divisors (see below), whose sum is σ = 1232360976. Its totient is φ = 997090560.

The previous prime is 1112203297. The next prime is 1112203327. The reversal of 1112203313 is 3133022111.

It can be written as a sum of positive squares in 8 ways, for example, as 24720784 + 1087482529 = 4972^2 + 32977^2 .

It is a cyclic number.

It is not a de Polignac number, because 1112203313 - 24 = 1112203297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1112203291 and 1112203300.

It is not an unprimeable number, because it can be changed into a prime (1112205313) 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 in 15 ways as a sum of consecutive naturals, for example, 312323 + ... + 315863.

It is an arithmetic number, because the mean of its divisors is an integer number (77022561).

Almost surely, 21112203313 is an apocalyptic number.

1112203313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1112203313 is a deficient number, since it is larger than the sum of its proper divisors (120157663).

1112203313 is a wasteful number, since it uses less digits than its factorization.

1112203313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244.

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

The square root of 1112203313 is about 33349.7123375900. The cubic root of 1112203313 is about 1036.0834300342.

Adding to 1112203313 its reverse (3133022111), we get a palindrome (4245225424).

The spelling of 1112203313 in words is "one billion, one hundred twelve million, two hundred three thousand, three hundred thirteen".

Divisors: 1 13 37 481 653 3541 8489 24161 46033 131017 314093 1703221 2312273 30059549 85554101 1112203313