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1113300441 = 321123598287
BaseRepresentation
bin100001001011011…
…1001110111011001
32212120212112002200
41002112321313121
54240001103231
6302245520413
736405616611
oct10226716731
92776775080
101113300441
1152147a110
12270a13109
13149859876
14a7c01a41
1567b11be6
hex425b9dd9

1113300441 has 48 divisors (see below), whose sum is σ = 1861816320. Its totient is φ = 634376160.

The previous prime is 1113300407. The next prime is 1113300449. The reversal of 1113300441 is 1440033111.

It is not a de Polignac number, because 1113300441 - 27 = 1113300313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1113300449) 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 in 47 ways as a sum of consecutive naturals, for example, 130200 + ... + 138486.

It is an arithmetic number, because the mean of its divisors is an integer number (38787840).

Almost surely, 21113300441 is an apocalyptic number.

1113300441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1113300441 is a deficient number, since it is larger than the sum of its proper divisors (748515879).

1113300441 is a wasteful number, since it uses less digits than its factorization.

1113300441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 8383 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1113300441 is about 33366.1571206515. The cubic root of 1113300441 is about 1036.4239980351.

Adding to 1113300441 its reverse (1440033111), we get a palindrome (2553333552).

The spelling of 1113300441 in words is "one billion, one hundred thirteen million, three hundred thousand, four hundred forty-one".

Divisors: 1 3 9 11 23 33 59 69 99 177 207 253 531 649 759 1357 1947 2277 4071 5841 8287 12213 14927 24861 44781 74583 91157 134343 190601 273471 488933 571803 820413 1466799 1715409 2096611 4400397 5378263 6289833 11245459 16134789 18869499 33736377 48404367 101209131 123700049 371100147 1113300441