Search a number
-
+
1105149993 = 3617382727
BaseRepresentation
bin100000111011111…
…0100000000101001
32212000112102210020
41001313310000221
54230404244433
6301355111053
736246422433
oct10167640051
92760472706
101105149993
11517912602
1226a142489
13147c64b0c
14a6abd653
1567051cb3
hex41df4029

1105149993 has 16 divisors (see below), whose sum is σ = 1518224256. Its totient is φ = 714752640.

The previous prime is 1105149973. The next prime is 1105150001. The reversal of 1105149993 is 3999415011.

It is not a de Polignac number, because 1105149993 - 222 = 1100955689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1105149973) 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, 28005 + ... + 54722.

It is an arithmetic number, because the mean of its divisors is an integer number (94889016).

Almost surely, 21105149993 is an apocalyptic number.

It is an amenable number.

1105149993 is a deficient number, since it is larger than the sum of its proper divisors (413074263).

1105149993 is an equidigital number, since it uses as much as digits as its factorization.

1105149993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82864.

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 1105149993 is about 33243.7963084844. The cubic root of 1105149993 is about 1033.8885882876. Note that the first 3 decimals are identical.

The spelling of 1105149993 in words is "one billion, one hundred five million, one hundred forty-nine thousand, nine hundred ninety-three".

Divisors: 1 3 61 73 183 219 4453 13359 82727 248181 5046347 6039071 15139041 18117213 368383331 1105149993