Search a number
-
+
1130105145 = 351343134777
BaseRepresentation
bin100001101011100…
…0000100100111001
32220202111021211010
41003113000210321
54303301331040
6304050024133
740001510121
oct10327004471
92822437733
101130105145
1152aa077a4
12276578049
13150191790
14aa137c81
1569330e80
hex435c0939

1130105145 has 32 divisors (see below), whose sum is σ = 1992557952. Its totient is φ = 543416832.

The previous prime is 1130105117. The next prime is 1130105159. The reversal of 1130105145 is 5415010311.

It is a happy number.

It is not a de Polignac number, because 1130105145 - 25 = 1130105113 is a prime.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 59004 + ... + 75773.

It is an arithmetic number, because the mean of its divisors is an integer number (62267436).

Almost surely, 21130105145 is an apocalyptic number.

1130105145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1130105145 is a deficient number, since it is larger than the sum of its proper divisors (862452807).

1130105145 is a wasteful number, since it uses less digits than its factorization.

1130105145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134841.

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 1130105145 is about 33617.0365291172. The cubic root of 1130105145 is about 1041.6127421970.

Adding to 1130105145 its reverse (5415010311), we get a palindrome (6545115456).

The spelling of 1130105145 in words is "one billion, one hundred thirty million, one hundred five thousand, one hundred forty-five".

Divisors: 1 3 5 13 15 39 43 65 129 195 215 559 645 1677 2795 8385 134777 404331 673885 1752101 2021655 5256303 5795411 8760505 17386233 26281515 28977055 75340343 86931165 226021029 376701715 1130105145