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1123105313 = 111311375689
BaseRepresentation
bin100001011110001…
…0011101000100001
32220021022122212002
41002330103220201
54300003332223
6303240013345
736555144341
oct10274235041
92807278762
101123105313
11526a66710
12274161255
1314b8b0675
14a9234d21
15688ebe28
hex42f13a21

1123105313 has 16 divisors (see below), whose sum is σ = 1243788480. Its totient is φ = 1005638400.

The previous prime is 1123105307. The next prime is 1123105327. The reversal of 1123105313 is 3135013211.

It is a cyclic number.

It is not a de Polignac number, because 1123105313 - 28 = 1123105057 is a prime.

It is a super-2 number, since 2×11231053132 = 2522731088177655938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1123105213) 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 in 15 ways as a sum of consecutive naturals, for example, 194573 + ... + 200261.

It is an arithmetic number, because the mean of its divisors is an integer number (77736780).

Almost surely, 21123105313 is an apocalyptic number.

It is an amenable number.

1123105313 is a deficient number, since it is larger than the sum of its proper divisors (120683167).

1123105313 is a wasteful number, since it uses less digits than its factorization.

1123105313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5968.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 1123105313 is about 33512.7634342499. The cubic root of 1123105313 is about 1039.4577156231.

Adding to 1123105313 its reverse (3135013211), we get a palindrome (4258118524).

The spelling of 1123105313 in words is "one billion, one hundred twenty-three million, one hundred five thousand, three hundred thirteen".

Divisors: 1 11 131 137 1441 1507 5689 17947 62579 197417 745259 779393 8197849 8573323 102100483 1123105313