Search a number
-
+
1130051535 = 35611518179
BaseRepresentation
bin100001101011011…
…0011011111001111
32220202101120021120
41003112303133033
54303243122120
6304044532023
740001164614
oct10326633717
92822346246
101130051535
1152a980498
12276551013
13150173262
14aa12250b
1569320140
hex435b37cf

1130051535 has 32 divisors (see below), whose sum is σ = 1850119680. Its totient is φ = 588816000.

The previous prime is 1130051519. The next prime is 1130051537. The reversal of 1130051535 is 5351500311.

It is not a de Polignac number, because 1130051535 - 24 = 1130051519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130051537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134076 + ... + 142254.

It is an arithmetic number, because the mean of its divisors is an integer number (57816240).

Almost surely, 21130051535 is an apocalyptic number.

1130051535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1130051535 is a deficient number, since it is larger than the sum of its proper divisors (720068145).

1130051535 is a wasteful number, since it uses less digits than its factorization.

1130051535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8399.

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 1130051535 is about 33616.2391560984. The cubic root of 1130051535 is about 1041.5962712393.

Adding to 1130051535 its reverse (5351500311), we get a palindrome (6481551846).

It can be divided in two parts, 11300 and 51535, that added together give a triangular number (62835 = T354).

The spelling of 1130051535 in words is "one billion, one hundred thirty million, fifty-one thousand, five hundred thirty-five".

Divisors: 1 3 5 15 61 151 183 305 453 755 915 2265 8179 9211 24537 27633 40895 46055 122685 138165 498919 1235029 1496757 2494595 3705087 6175145 7483785 18525435 75336769 226010307 376683845 1130051535